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Finding the Fourth Proportional to 14,153.84, 21,230.80 and 5,831.76

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Solution

The fourth proportional to 14,153.84, 21,230.80 and 5,831.76 is: 8,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.84 : 21,230.80 = 5,831.76 : x
  2. Step 2: Convert to fraction form
    14,153.84/21,230.80 = 5,831.76/x
  3. Step 3: Cross multiply
    14,153.84x = 21,230.80 × 5,831.76
  4. Step 4: Simplify right side
    14,153.84x = 123,812,930.21
  5. Step 5: Solve for x
    x = 123,812,930.21/14,153.84
  6. Step 6: Final answer
    x = 8,747.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.