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Finding the Fourth Proportional to 13,031.50, 17,983.36 and 7,063.16

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Solution

The fourth proportional to 13,031.50, 17,983.36 and 7,063.16 is: 9,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.50 : 17,983.36 = 7,063.16 : x
  2. Step 2: Convert to fraction form
    13,031.50/17,983.36 = 7,063.16/x
  3. Step 3: Cross multiply
    13,031.50x = 17,983.36 × 7,063.16
  4. Step 4: Simplify right side
    13,031.50x = 127,019,349.02
  5. Step 5: Solve for x
    x = 127,019,349.02/13,031.50
  6. Step 6: Final answer
    x = 9,747.10

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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.