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Finding the Fourth Proportional to 12,572.94, 17,343.24 and 7,849.02

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Solution

The fourth proportional to 12,572.94, 17,343.24 and 7,849.02 is: 10,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.94 : 17,343.24 = 7,849.02 : x
  2. Step 2: Convert to fraction form
    12,572.94/17,343.24 = 7,849.02/x
  3. Step 3: Cross multiply
    12,572.94x = 17,343.24 × 7,849.02
  4. Step 4: Simplify right side
    12,572.94x = 136,127,437.62
  5. Step 5: Solve for x
    x = 136,127,437.62/12,572.94
  6. Step 6: Final answer
    x = 10,827.02

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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.