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Finding the Fourth Proportional to 23,549.04, 32,498.40 and 12,939

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Solution

The fourth proportional to 23,549.04, 32,498.40 and 12,939 is: 17,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.04 : 32,498.40 = 12,939 : x
  2. Step 2: Convert to fraction form
    23,549.04/32,498.40 = 12,939/x
  3. Step 3: Cross multiply
    23,549.04x = 32,498.40 × 12,939
  4. Step 4: Simplify right side
    23,549.04x = 420,496,797.60
  5. Step 5: Solve for x
    x = 420,496,797.60/23,549.04
  6. Step 6: Final answer
    x = 17,856.22

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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.