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Finding the Fourth Proportional to 13,031, 17,982.68 and 7,062.65

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Solution

The fourth proportional to 13,031, 17,982.68 and 7,062.65 is: 9,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031 : 17,982.68 = 7,062.65 : x
  2. Step 2: Convert to fraction form
    13,031/17,982.68 = 7,062.65/x
  3. Step 3: Cross multiply
    13,031x = 17,982.68 × 7,062.65
  4. Step 4: Simplify right side
    13,031x = 127,005,374.90
  5. Step 5: Solve for x
    x = 127,005,374.90/13,031
  6. Step 6: Final answer
    x = 9,746.40

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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.