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Finding the Fourth Proportional to 17,810.32, 24,578.16 and 10,253.89

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Solution

The fourth proportional to 17,810.32, 24,578.16 and 10,253.89 is: 14,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.32 : 24,578.16 = 10,253.89 : x
  2. Step 2: Convert to fraction form
    17,810.32/24,578.16 = 10,253.89/x
  3. Step 3: Cross multiply
    17,810.32x = 24,578.16 × 10,253.89
  4. Step 4: Simplify right side
    17,810.32x = 252,021,749.04
  5. Step 5: Solve for x
    x = 252,021,749.04/17,810.32
  6. Step 6: Final answer
    x = 14,150.32

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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.