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Finding the Fourth Proportional to 12,829.47, 17,707.62 and 7,526

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Solution

The fourth proportional to 12,829.47, 17,707.62 and 7,526 is: 10,387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.47 : 17,707.62 = 7,526 : x
  2. Step 2: Convert to fraction form
    12,829.47/17,707.62 = 7,526/x
  3. Step 3: Cross multiply
    12,829.47x = 17,707.62 × 7,526
  4. Step 4: Simplify right side
    12,829.47x = 133,267,548.12
  5. Step 5: Solve for x
    x = 133,267,548.12/12,829.47
  6. Step 6: Final answer
    x = 10,387.61

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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.