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Finding the Fourth Proportional to 13,257.61, 18,294.32 and 7,289.16

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Solution

The fourth proportional to 13,257.61, 18,294.32 and 7,289.16 is: 10,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.61 : 18,294.32 = 7,289.16 : x
  2. Step 2: Convert to fraction form
    13,257.61/18,294.32 = 7,289.16/x
  3. Step 3: Cross multiply
    13,257.61x = 18,294.32 × 7,289.16
  4. Step 4: Simplify right side
    13,257.61x = 133,350,175.19
  5. Step 5: Solve for x
    x = 133,350,175.19/13,257.61
  6. Step 6: Final answer
    x = 10,058.39

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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.