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Finding the Fourth Proportional to 23,978.48, 35,943.47 and 9,919.08

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Solution

The fourth proportional to 23,978.48, 35,943.47 and 9,919.08 is: 14,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.48 : 35,943.47 = 9,919.08 : x
  2. Step 2: Convert to fraction form
    23,978.48/35,943.47 = 9,919.08/x
  3. Step 3: Cross multiply
    23,978.48x = 35,943.47 × 9,919.08
  4. Step 4: Simplify right side
    23,978.48x = 356,526,154.41
  5. Step 5: Solve for x
    x = 356,526,154.41/23,978.48
  6. Step 6: Final answer
    x = 14,868.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.