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Finding the Fourth Proportional to 14,831.38, 20,465.85 and 8,780.32

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Solution

The fourth proportional to 14,831.38, 20,465.85 and 8,780.32 is: 12,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,831.38 : 20,465.85 = 8,780.32 : x
  2. Step 2: Convert to fraction form
    14,831.38/20,465.85 = 8,780.32/x
  3. Step 3: Cross multiply
    14,831.38x = 20,465.85 × 8,780.32
  4. Step 4: Simplify right side
    14,831.38x = 179,696,712.07
  5. Step 5: Solve for x
    x = 179,696,712.07/14,831.38
  6. Step 6: Final answer
    x = 12,115.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.