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Finding the Fourth Proportional to 17,833.12, 24,609.28 and 9,875.20

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Solution

The fourth proportional to 17,833.12, 24,609.28 and 9,875.20 is: 13,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.12 : 24,609.28 = 9,875.20 : x
  2. Step 2: Convert to fraction form
    17,833.12/24,609.28 = 9,875.20/x
  3. Step 3: Cross multiply
    17,833.12x = 24,609.28 × 9,875.20
  4. Step 4: Simplify right side
    17,833.12x = 243,021,561.86
  5. Step 5: Solve for x
    x = 243,021,561.86/17,833.12
  6. Step 6: Final answer
    x = 13,627.54

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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.