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Finding the Fourth Proportional to 12,573.61, 17,352.26 and 7,538.65

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Solution

The fourth proportional to 12,573.61, 17,352.26 and 7,538.65 is: 10,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.61 : 17,352.26 = 7,538.65 : x
  2. Step 2: Convert to fraction form
    12,573.61/17,352.26 = 7,538.65/x
  3. Step 3: Cross multiply
    12,573.61x = 17,352.26 × 7,538.65
  4. Step 4: Simplify right side
    12,573.61x = 130,812,614.85
  5. Step 5: Solve for x
    x = 130,812,614.85/12,573.61
  6. Step 6: Final answer
    x = 10,403.74

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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.