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Finding the Fourth Proportional to 14,376, 19,836.72 and 8,088.24

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Solution

The fourth proportional to 14,376, 19,836.72 and 8,088.24 is: 11,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376 : 19,836.72 = 8,088.24 : x
  2. Step 2: Convert to fraction form
    14,376/19,836.72 = 8,088.24/x
  3. Step 3: Cross multiply
    14,376x = 19,836.72 × 8,088.24
  4. Step 4: Simplify right side
    14,376x = 160,444,152.17
  5. Step 5: Solve for x
    x = 160,444,152.17/14,376
  6. Step 6: Final answer
    x = 11,160.56

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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.