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Finding the Fourth Proportional to 17,833.16, 24,608.76 and 9,875.18

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Solution

The fourth proportional to 17,833.16, 24,608.76 and 9,875.18 is: 13,627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.16 : 24,608.76 = 9,875.18 : x
  2. Step 2: Convert to fraction form
    17,833.16/24,608.76 = 9,875.18/x
  3. Step 3: Cross multiply
    17,833.16x = 24,608.76 × 9,875.18
  4. Step 4: Simplify right side
    17,833.16x = 243,015,934.58
  5. Step 5: Solve for x
    x = 243,015,934.58/17,833.16
  6. Step 6: Final answer
    x = 13,627.19

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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.