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Finding the Fourth Proportional to 13,456.38, 18,570.53 and 7,487.91

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Solution

The fourth proportional to 13,456.38, 18,570.53 and 7,487.91 is: 10,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.38 : 18,570.53 = 7,487.91 : x
  2. Step 2: Convert to fraction form
    13,456.38/18,570.53 = 7,487.91/x
  3. Step 3: Cross multiply
    13,456.38x = 18,570.53 × 7,487.91
  4. Step 4: Simplify right side
    13,456.38x = 139,054,476.01
  5. Step 5: Solve for x
    x = 139,054,476.01/13,456.38
  6. Step 6: Final answer
    x = 10,333.72

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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.