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Finding the Fourth Proportional to 10,339.92, 14,262.69 and 9,016.80

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Solution

The fourth proportional to 10,339.92, 14,262.69 and 9,016.80 is: 12,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.92 : 14,262.69 = 9,016.80 : x
  2. Step 2: Convert to fraction form
    10,339.92/14,262.69 = 9,016.80/x
  3. Step 3: Cross multiply
    10,339.92x = 14,262.69 × 9,016.80
  4. Step 4: Simplify right side
    10,339.92x = 128,603,823.19
  5. Step 5: Solve for x
    x = 128,603,823.19/10,339.92
  6. Step 6: Final answer
    x = 12,437.60

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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.