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Finding the Fourth Proportional to 13,257.02, 18,295 and 7,288.80

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Solution

The fourth proportional to 13,257.02, 18,295 and 7,288.80 is: 10,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.02 : 18,295 = 7,288.80 : x
  2. Step 2: Convert to fraction form
    13,257.02/18,295 = 7,288.80/x
  3. Step 3: Cross multiply
    13,257.02x = 18,295 × 7,288.80
  4. Step 4: Simplify right side
    13,257.02x = 133,348,596
  5. Step 5: Solve for x
    x = 133,348,596/13,257.02
  6. Step 6: Final answer
    x = 10,058.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.