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Finding the Fourth Proportional to 25,006.76, 37,510.14 and 10,213.10

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Solution

The fourth proportional to 25,006.76, 37,510.14 and 10,213.10 is: 15,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,006.76 : 37,510.14 = 10,213.10 : x
  2. Step 2: Convert to fraction form
    25,006.76/37,510.14 = 10,213.10/x
  3. Step 3: Cross multiply
    25,006.76x = 37,510.14 × 10,213.10
  4. Step 4: Simplify right side
    25,006.76x = 383,094,810.83
  5. Step 5: Solve for x
    x = 383,094,810.83/25,006.76
  6. Step 6: Final answer
    x = 15,319.65

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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.