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Finding the Fourth Proportional to 12,686.72, 17,509.04 and 7,384.46

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Solution

The fourth proportional to 12,686.72, 17,509.04 and 7,384.46 is: 10,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.72 : 17,509.04 = 7,384.46 : x
  2. Step 2: Convert to fraction form
    12,686.72/17,509.04 = 7,384.46/x
  3. Step 3: Cross multiply
    12,686.72x = 17,509.04 × 7,384.46
  4. Step 4: Simplify right side
    12,686.72x = 129,294,681.05
  5. Step 5: Solve for x
    x = 129,294,681.05/12,686.72
  6. Step 6: Final answer
    x = 10,191.34

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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.