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Finding the Fourth Proportional to 12,684.24, 17,487.47 and 10,407.24

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Solution

The fourth proportional to 12,684.24, 17,487.47 and 10,407.24 is: 14,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.24 : 17,487.47 = 10,407.24 : x
  2. Step 2: Convert to fraction form
    12,684.24/17,487.47 = 10,407.24/x
  3. Step 3: Cross multiply
    12,684.24x = 17,487.47 × 10,407.24
  4. Step 4: Simplify right side
    12,684.24x = 181,996,323.30
  5. Step 5: Solve for x
    x = 181,996,323.30/12,684.24
  6. Step 6: Final answer
    x = 14,348.22

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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.