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Finding the Fourth Proportional to 15,502.54, 21,392.59 and 8,428.90

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Solution

The fourth proportional to 15,502.54, 21,392.59 and 8,428.90 is: 11,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.54 : 21,392.59 = 8,428.90 : x
  2. Step 2: Convert to fraction form
    15,502.54/21,392.59 = 8,428.90/x
  3. Step 3: Cross multiply
    15,502.54x = 21,392.59 × 8,428.90
  4. Step 4: Simplify right side
    15,502.54x = 180,316,001.85
  5. Step 5: Solve for x
    x = 180,316,001.85/15,502.54
  6. Step 6: Final answer
    x = 11,631.38

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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.