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Finding the Fourth Proportional to 13,248.50, 18,263.66 and 9,257.22

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Solution

The fourth proportional to 13,248.50, 18,263.66 and 9,257.22 is: 12,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248.50 : 18,263.66 = 9,257.22 : x
  2. Step 2: Convert to fraction form
    13,248.50/18,263.66 = 9,257.22/x
  3. Step 3: Cross multiply
    13,248.50x = 18,263.66 × 9,257.22
  4. Step 4: Simplify right side
    13,248.50x = 169,070,672.34
  5. Step 5: Solve for x
    x = 169,070,672.34/13,248.50
  6. Step 6: Final answer
    x = 12,761.50

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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.