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Finding the Fourth Proportional to 23,260.19, 32,098.14 and 12,649.82

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Solution

The fourth proportional to 23,260.19, 32,098.14 and 12,649.82 is: 17,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,260.19 : 32,098.14 = 12,649.82 : x
  2. Step 2: Convert to fraction form
    23,260.19/32,098.14 = 12,649.82/x
  3. Step 3: Cross multiply
    23,260.19x = 32,098.14 × 12,649.82
  4. Step 4: Simplify right side
    23,260.19x = 406,035,532.84
  5. Step 5: Solve for x
    x = 406,035,532.84/23,260.19
  6. Step 6: Final answer
    x = 17,456.25

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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.