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Finding the Fourth Proportional to 17,435.12, 24,062.67 and 9,882.68

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Solution

The fourth proportional to 17,435.12, 24,062.67 and 9,882.68 is: 13,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,435.12 : 24,062.67 = 9,882.68 : x
  2. Step 2: Convert to fraction form
    17,435.12/24,062.67 = 9,882.68/x
  3. Step 3: Cross multiply
    17,435.12x = 24,062.67 × 9,882.68
  4. Step 4: Simplify right side
    17,435.12x = 237,803,547.24
  5. Step 5: Solve for x
    x = 237,803,547.24/17,435.12
  6. Step 6: Final answer
    x = 13,639.34

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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.