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Finding the Fourth Proportional to 25,024.65, 37,539.68 and 8,384.01

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Solution

The fourth proportional to 25,024.65, 37,539.68 and 8,384.01 is: 12,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,024.65 : 37,539.68 = 8,384.01 : x
  2. Step 2: Convert to fraction form
    25,024.65/37,539.68 = 8,384.01/x
  3. Step 3: Cross multiply
    25,024.65x = 37,539.68 × 8,384.01
  4. Step 4: Simplify right side
    25,024.65x = 314,733,010.60
  5. Step 5: Solve for x
    x = 314,733,010.60/25,024.65
  6. Step 6: Final answer
    x = 12,576.92

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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.