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Finding the Fourth Proportional to 21,337.10, 32,005.65 and 14,338.70

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Solution

The fourth proportional to 21,337.10, 32,005.65 and 14,338.70 is: 21,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337.10 : 32,005.65 = 14,338.70 : x
  2. Step 2: Convert to fraction form
    21,337.10/32,005.65 = 14,338.70/x
  3. Step 3: Cross multiply
    21,337.10x = 32,005.65 × 14,338.70
  4. Step 4: Simplify right side
    21,337.10x = 458,919,413.66
  5. Step 5: Solve for x
    x = 458,919,413.66/21,337.10
  6. Step 6: Final answer
    x = 21,508.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.