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Finding the Fourth Proportional to 22,978.08, 31,713.24 and 14,030.80

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Solution

The fourth proportional to 22,978.08, 31,713.24 and 14,030.80 is: 19,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.08 : 31,713.24 = 14,030.80 : x
  2. Step 2: Convert to fraction form
    22,978.08/31,713.24 = 14,030.80/x
  3. Step 3: Cross multiply
    22,978.08x = 31,713.24 × 14,030.80
  4. Step 4: Simplify right side
    22,978.08x = 444,962,127.79
  5. Step 5: Solve for x
    x = 444,962,127.79/22,978.08
  6. Step 6: Final answer
    x = 19,364.63

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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.