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Finding the Fourth Proportional to 24,256.58, 36,398.82 and 10,215.50

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Solution

The fourth proportional to 24,256.58, 36,398.82 and 10,215.50 is: 15,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256.58 : 36,398.82 = 10,215.50 : x
  2. Step 2: Convert to fraction form
    24,256.58/36,398.82 = 10,215.50/x
  3. Step 3: Cross multiply
    24,256.58x = 36,398.82 × 10,215.50
  4. Step 4: Simplify right side
    24,256.58x = 371,832,145.71
  5. Step 5: Solve for x
    x = 371,832,145.71/24,256.58
  6. Step 6: Final answer
    x = 15,329.12

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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.