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Finding the Fourth Proportional to 27,840, 38,419.20 and 15,264.75

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Solution

The fourth proportional to 27,840, 38,419.20 and 15,264.75 is: 21,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840 : 38,419.20 = 15,264.75 : x
  2. Step 2: Convert to fraction form
    27,840/38,419.20 = 15,264.75/x
  3. Step 3: Cross multiply
    27,840x = 38,419.20 × 15,264.75
  4. Step 4: Simplify right side
    27,840x = 586,459,483.20
  5. Step 5: Solve for x
    x = 586,459,483.20/27,840
  6. Step 6: Final answer
    x = 21,065.36

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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.