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Finding the Fourth Proportional to 25,322.85, 34,938.42 and 14,567.16

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Solution

The fourth proportional to 25,322.85, 34,938.42 and 14,567.16 is: 20,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,322.85 : 34,938.42 = 14,567.16 : x
  2. Step 2: Convert to fraction form
    25,322.85/34,938.42 = 14,567.16/x
  3. Step 3: Cross multiply
    25,322.85x = 34,938.42 × 14,567.16
  4. Step 4: Simplify right side
    25,322.85x = 508,953,554.29
  5. Step 5: Solve for x
    x = 508,953,554.29/25,322.85
  6. Step 6: Final answer
    x = 20,098.59

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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.