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Finding the Fourth Proportional to 24,254.08, 36,395.07 and 10,213

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Solution

The fourth proportional to 24,254.08, 36,395.07 and 10,213 is: 15,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.08 : 36,395.07 = 10,213 : x
  2. Step 2: Convert to fraction form
    24,254.08/36,395.07 = 10,213/x
  3. Step 3: Cross multiply
    24,254.08x = 36,395.07 × 10,213
  4. Step 4: Simplify right side
    24,254.08x = 371,702,849.91
  5. Step 5: Solve for x
    x = 371,702,849.91/24,254.08
  6. Step 6: Final answer
    x = 15,325.37

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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.