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Finding the Fourth Proportional to 13,033.48, 17,966.28 and 7,988.34

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Solution

The fourth proportional to 13,033.48, 17,966.28 and 7,988.34 is: 11,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.48 : 17,966.28 = 7,988.34 : x
  2. Step 2: Convert to fraction form
    13,033.48/17,966.28 = 7,988.34/x
  3. Step 3: Cross multiply
    13,033.48x = 17,966.28 × 7,988.34
  4. Step 4: Simplify right side
    13,033.48x = 143,520,713.23
  5. Step 5: Solve for x
    x = 143,520,713.23/13,033.48
  6. Step 6: Final answer
    x = 11,011.70

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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.