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Finding the Fourth Proportional to 23,308.50, 32,164.61 and 13,235.61

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Solution

The fourth proportional to 23,308.50, 32,164.61 and 13,235.61 is: 18,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308.50 : 32,164.61 = 13,235.61 : x
  2. Step 2: Convert to fraction form
    23,308.50/32,164.61 = 13,235.61/x
  3. Step 3: Cross multiply
    23,308.50x = 32,164.61 × 13,235.61
  4. Step 4: Simplify right side
    23,308.50x = 425,718,233.76
  5. Step 5: Solve for x
    x = 425,718,233.76/23,308.50
  6. Step 6: Final answer
    x = 18,264.51

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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.