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Finding the Fourth Proportional to 23,412.80, 32,310.17 and 12,803.42

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Solution

The fourth proportional to 23,412.80, 32,310.17 and 12,803.42 is: 17,668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.80 : 32,310.17 = 12,803.42 : x
  2. Step 2: Convert to fraction form
    23,412.80/32,310.17 = 12,803.42/x
  3. Step 3: Cross multiply
    23,412.80x = 32,310.17 × 12,803.42
  4. Step 4: Simplify right side
    23,412.80x = 413,680,547.24
  5. Step 5: Solve for x
    x = 413,680,547.24/23,412.80
  6. Step 6: Final answer
    x = 17,668.99

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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.