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Finding the Fourth Proportional to 13,443.69, 18,549.59 and 7,853.61

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Solution

The fourth proportional to 13,443.69, 18,549.59 and 7,853.61 is: 10,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.69 : 18,549.59 = 7,853.61 : x
  2. Step 2: Convert to fraction form
    13,443.69/18,549.59 = 7,853.61/x
  3. Step 3: Cross multiply
    13,443.69x = 18,549.59 × 7,853.61
  4. Step 4: Simplify right side
    13,443.69x = 145,681,206.25
  5. Step 5: Solve for x
    x = 145,681,206.25/13,443.69
  6. Step 6: Final answer
    x = 10,836.40

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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.