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Finding the Fourth Proportional to 12,458.24, 17,189.76 and 7,152.64

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Solution

The fourth proportional to 12,458.24, 17,189.76 and 7,152.64 is: 9,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.24 : 17,189.76 = 7,152.64 : x
  2. Step 2: Convert to fraction form
    12,458.24/17,189.76 = 7,152.64/x
  3. Step 3: Cross multiply
    12,458.24x = 17,189.76 × 7,152.64
  4. Step 4: Simplify right side
    12,458.24x = 122,952,164.97
  5. Step 5: Solve for x
    x = 122,952,164.97/12,458.24
  6. Step 6: Final answer
    x = 9,869.14

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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.