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Finding the Fourth Proportional to 23,260.40, 32,098.68 and 13,189.77

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Solution

The fourth proportional to 23,260.40, 32,098.68 and 13,189.77 is: 18,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,260.40 : 32,098.68 = 13,189.77 : x
  2. Step 2: Convert to fraction form
    23,260.40/32,098.68 = 13,189.77/x
  3. Step 3: Cross multiply
    23,260.40x = 32,098.68 × 13,189.77
  4. Step 4: Simplify right side
    23,260.40x = 423,374,206.50
  5. Step 5: Solve for x
    x = 423,374,206.50/23,260.40
  6. Step 6: Final answer
    x = 18,201.50

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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.