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Finding the Fourth Proportional to 13,437.30, 18,543.46 and 7,469.53

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Solution

The fourth proportional to 13,437.30, 18,543.46 and 7,469.53 is: 10,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.30 : 18,543.46 = 7,469.53 : x
  2. Step 2: Convert to fraction form
    13,437.30/18,543.46 = 7,469.53/x
  3. Step 3: Cross multiply
    13,437.30x = 18,543.46 × 7,469.53
  4. Step 4: Simplify right side
    13,437.30x = 138,510,800.71
  5. Step 5: Solve for x
    x = 138,510,800.71/13,437.30
  6. Step 6: Final answer
    x = 10,307.93

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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.