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Finding the Fourth Proportional to 17,765.16, 24,508.23 and 10,209.75

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Solution

The fourth proportional to 17,765.16, 24,508.23 and 10,209.75 is: 14,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.16 : 24,508.23 = 10,209.75 : x
  2. Step 2: Convert to fraction form
    17,765.16/24,508.23 = 10,209.75/x
  3. Step 3: Cross multiply
    17,765.16x = 24,508.23 × 10,209.75
  4. Step 4: Simplify right side
    17,765.16x = 250,222,901.24
  5. Step 5: Solve for x
    x = 250,222,901.24/17,765.16
  6. Step 6: Final answer
    x = 14,085.04

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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.