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Finding the Fourth Proportional to 17,833.26, 24,609.98 and 9,875.32

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Solution

The fourth proportional to 17,833.26, 24,609.98 and 9,875.32 is: 13,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.26 : 24,609.98 = 9,875.32 : x
  2. Step 2: Convert to fraction form
    17,833.26/24,609.98 = 9,875.32/x
  3. Step 3: Cross multiply
    17,833.26x = 24,609.98 × 9,875.32
  4. Step 4: Simplify right side
    17,833.26x = 243,031,335.31
  5. Step 5: Solve for x
    x = 243,031,335.31/17,833.26
  6. Step 6: Final answer
    x = 13,627.98

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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.