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Finding the Fourth Proportional to 25,217.57, 37,829.08 and 9,430.16

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Solution

The fourth proportional to 25,217.57, 37,829.08 and 9,430.16 is: 14,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,217.57 : 37,829.08 = 9,430.16 : x
  2. Step 2: Convert to fraction form
    25,217.57/37,829.08 = 9,430.16/x
  3. Step 3: Cross multiply
    25,217.57x = 37,829.08 × 9,430.16
  4. Step 4: Simplify right side
    25,217.57x = 356,734,277.05
  5. Step 5: Solve for x
    x = 356,734,277.05/25,217.57
  6. Step 6: Final answer
    x = 14,146.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.