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Finding the Fourth Proportional to 23,543.83, 32,490.39 and 12,788.65

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Solution

The fourth proportional to 23,543.83, 32,490.39 and 12,788.65 is: 17,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.83 : 32,490.39 = 12,788.65 : x
  2. Step 2: Convert to fraction form
    23,543.83/32,490.39 = 12,788.65/x
  3. Step 3: Cross multiply
    23,543.83x = 32,490.39 × 12,788.65
  4. Step 4: Simplify right side
    23,543.83x = 415,508,226.07
  5. Step 5: Solve for x
    x = 415,508,226.07/23,543.83
  6. Step 6: Final answer
    x = 17,648.29

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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.