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Finding the Fourth Proportional to 14,640.16, 21,963.28 and 5,875.76

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Solution

The fourth proportional to 14,640.16, 21,963.28 and 5,875.76 is: 8,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.16 : 21,963.28 = 5,875.76 : x
  2. Step 2: Convert to fraction form
    14,640.16/21,963.28 = 5,875.76/x
  3. Step 3: Cross multiply
    14,640.16x = 21,963.28 × 5,875.76
  4. Step 4: Simplify right side
    14,640.16x = 129,050,962.09
  5. Step 5: Solve for x
    x = 129,050,962.09/14,640.16
  6. Step 6: Final answer
    x = 8,814.86

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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.