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Finding the Fourth Proportional to 12,601.72, 17,389.74 and 7,013.08

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Solution

The fourth proportional to 12,601.72, 17,389.74 and 7,013.08 is: 9,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601.72 : 17,389.74 = 7,013.08 : x
  2. Step 2: Convert to fraction form
    12,601.72/17,389.74 = 7,013.08/x
  3. Step 3: Cross multiply
    12,601.72x = 17,389.74 × 7,013.08
  4. Step 4: Simplify right side
    12,601.72x = 121,955,637.80
  5. Step 5: Solve for x
    x = 121,955,637.80/12,601.72
  6. Step 6: Final answer
    x = 9,677.70

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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.