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Finding the Fourth Proportional to 23,823.32, 32,876.11 and 13,068.24

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Solution

The fourth proportional to 23,823.32, 32,876.11 and 13,068.24 is: 18,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.32 : 32,876.11 = 13,068.24 : x
  2. Step 2: Convert to fraction form
    23,823.32/32,876.11 = 13,068.24/x
  3. Step 3: Cross multiply
    23,823.32x = 32,876.11 × 13,068.24
  4. Step 4: Simplify right side
    23,823.32x = 429,632,788.80
  5. Step 5: Solve for x
    x = 429,632,788.80/23,823.32
  6. Step 6: Final answer
    x = 18,034.13

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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.