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Finding the Fourth Proportional to 24,363.76, 36,471.12 and 15,607.12

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Solution

The fourth proportional to 24,363.76, 36,471.12 and 15,607.12 is: 23,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363.76 : 36,471.12 = 15,607.12 : x
  2. Step 2: Convert to fraction form
    24,363.76/36,471.12 = 15,607.12/x
  3. Step 3: Cross multiply
    24,363.76x = 36,471.12 × 15,607.12
  4. Step 4: Simplify right side
    24,363.76x = 569,209,146.37
  5. Step 5: Solve for x
    x = 569,209,146.37/24,363.76
  6. Step 6: Final answer
    x = 23,362.94

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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.