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Finding the Fourth Proportional to 25,899.62, 35,741.11 and 14,569.10

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Solution

The fourth proportional to 25,899.62, 35,741.11 and 14,569.10 is: 20,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,899.62 : 35,741.11 = 14,569.10 : x
  2. Step 2: Convert to fraction form
    25,899.62/35,741.11 = 14,569.10/x
  3. Step 3: Cross multiply
    25,899.62x = 35,741.11 × 14,569.10
  4. Step 4: Simplify right side
    25,899.62x = 520,715,952.96
  5. Step 5: Solve for x
    x = 520,715,952.96/25,899.62
  6. Step 6: Final answer
    x = 20,105.16

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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.