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Finding the Fourth Proportional to 23,040.88, 31,814.88 and 14,978.52

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Solution

The fourth proportional to 23,040.88, 31,814.88 and 14,978.52 is: 20,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040.88 : 31,814.88 = 14,978.52 : x
  2. Step 2: Convert to fraction form
    23,040.88/31,814.88 = 14,978.52/x
  3. Step 3: Cross multiply
    23,040.88x = 31,814.88 × 14,978.52
  4. Step 4: Simplify right side
    23,040.88x = 476,539,816.38
  5. Step 5: Solve for x
    x = 476,539,816.38/23,040.88
  6. Step 6: Final answer
    x = 20,682.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.