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Finding the Fourth Proportional to 24,416.08, 36,637.08 and 10,564

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Solution

The fourth proportional to 24,416.08, 36,637.08 and 10,564 is: 15,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.08 : 36,637.08 = 10,564 : x
  2. Step 2: Convert to fraction form
    24,416.08/36,637.08 = 10,564/x
  3. Step 3: Cross multiply
    24,416.08x = 36,637.08 × 10,564
  4. Step 4: Simplify right side
    24,416.08x = 387,034,113.12
  5. Step 5: Solve for x
    x = 387,034,113.12/24,416.08
  6. Step 6: Final answer
    x = 15,851.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.