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Finding the Fourth Proportional to 24,470.32, 36,710.95 and 7,831.35

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Solution

The fourth proportional to 24,470.32, 36,710.95 and 7,831.35 is: 11,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.32 : 36,710.95 = 7,831.35 : x
  2. Step 2: Convert to fraction form
    24,470.32/36,710.95 = 7,831.35/x
  3. Step 3: Cross multiply
    24,470.32x = 36,710.95 × 7,831.35
  4. Step 4: Simplify right side
    24,470.32x = 287,496,298.28
  5. Step 5: Solve for x
    x = 287,496,298.28/24,470.32
  6. Step 6: Final answer
    x = 11,748.78

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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.