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Finding the Fourth Proportional to 25,114.86, 34,655.90 and 14,507.91

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Solution

The fourth proportional to 25,114.86, 34,655.90 and 14,507.91 is: 20,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.86 : 34,655.90 = 14,507.91 : x
  2. Step 2: Convert to fraction form
    25,114.86/34,655.90 = 14,507.91/x
  3. Step 3: Cross multiply
    25,114.86x = 34,655.90 × 14,507.91
  4. Step 4: Simplify right side
    25,114.86x = 502,784,605.63
  5. Step 5: Solve for x
    x = 502,784,605.63/25,114.86
  6. Step 6: Final answer
    x = 20,019.41

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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.