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Finding the Fourth Proportional to 23,875.56, 35,812.53 and 8,292.78

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Solution

The fourth proportional to 23,875.56, 35,812.53 and 8,292.78 is: 12,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.56 : 35,812.53 = 8,292.78 : x
  2. Step 2: Convert to fraction form
    23,875.56/35,812.53 = 8,292.78/x
  3. Step 3: Cross multiply
    23,875.56x = 35,812.53 × 8,292.78
  4. Step 4: Simplify right side
    23,875.56x = 296,985,432.53
  5. Step 5: Solve for x
    x = 296,985,432.53/23,875.56
  6. Step 6: Final answer
    x = 12,438.89

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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.