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Finding the Fourth Proportional to 14,831.66, 20,465.70 and 8,542.82

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Solution

The fourth proportional to 14,831.66, 20,465.70 and 8,542.82 is: 11,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,831.66 : 20,465.70 = 8,542.82 : x
  2. Step 2: Convert to fraction form
    14,831.66/20,465.70 = 8,542.82/x
  3. Step 3: Cross multiply
    14,831.66x = 20,465.70 × 8,542.82
  4. Step 4: Simplify right side
    14,831.66x = 174,834,688.95
  5. Step 5: Solve for x
    x = 174,834,688.95/14,831.66
  6. Step 6: Final answer
    x = 11,787.94

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