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Finding the Fourth Proportional to 13,257.16, 18,294.93 and 7,592

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Solution

The fourth proportional to 13,257.16, 18,294.93 and 7,592 is: 10,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.16 : 18,294.93 = 7,592 : x
  2. Step 2: Convert to fraction form
    13,257.16/18,294.93 = 7,592/x
  3. Step 3: Cross multiply
    13,257.16x = 18,294.93 × 7,592
  4. Step 4: Simplify right side
    13,257.16x = 138,895,108.56
  5. Step 5: Solve for x
    x = 138,895,108.56/13,257.16
  6. Step 6: Final answer
    x = 10,476.99

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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.