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Finding the Fourth Proportional to 24,475.55, 36,717.90 and 7,831.11

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Solution

The fourth proportional to 24,475.55, 36,717.90 and 7,831.11 is: 11,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.55 : 36,717.90 = 7,831.11 : x
  2. Step 2: Convert to fraction form
    24,475.55/36,717.90 = 7,831.11/x
  3. Step 3: Cross multiply
    24,475.55x = 36,717.90 × 7,831.11
  4. Step 4: Simplify right side
    24,475.55x = 287,541,913.87
  5. Step 5: Solve for x
    x = 287,541,913.87/24,475.55
  6. Step 6: Final answer
    x = 11,748.13

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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.