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Finding the Fourth Proportional to 25,030, 34,543.56 and 13,854.16

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Solution

The fourth proportional to 25,030, 34,543.56 and 13,854.16 is: 19,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,030 : 34,543.56 = 13,854.16 : x
  2. Step 2: Convert to fraction form
    25,030/34,543.56 = 13,854.16/x
  3. Step 3: Cross multiply
    25,030x = 34,543.56 × 13,854.16
  4. Step 4: Simplify right side
    25,030x = 478,572,007.21
  5. Step 5: Solve for x
    x = 478,572,007.21/25,030
  6. Step 6: Final answer
    x = 19,119.94

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