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Finding the Fourth Proportional to 25,213.60, 37,823.86 and 8,569.16

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Solution

The fourth proportional to 25,213.60, 37,823.86 and 8,569.16 is: 12,854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.60 : 37,823.86 = 8,569.16 : x
  2. Step 2: Convert to fraction form
    25,213.60/37,823.86 = 8,569.16/x
  3. Step 3: Cross multiply
    25,213.60x = 37,823.86 × 8,569.16
  4. Step 4: Simplify right side
    25,213.60x = 324,118,824.14
  5. Step 5: Solve for x
    x = 324,118,824.14/25,213.60
  6. Step 6: Final answer
    x = 12,854.92

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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.