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Finding the Fourth Proportional to 23,117.96, 31,894.86 and 13,045.16

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Solution

The fourth proportional to 23,117.96, 31,894.86 and 13,045.16 is: 17,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.96 : 31,894.86 = 13,045.16 : x
  2. Step 2: Convert to fraction form
    23,117.96/31,894.86 = 13,045.16/x
  3. Step 3: Cross multiply
    23,117.96x = 31,894.86 × 13,045.16
  4. Step 4: Simplify right side
    23,117.96x = 416,073,551.88
  5. Step 5: Solve for x
    x = 416,073,551.88/23,117.96
  6. Step 6: Final answer
    x = 17,997.85

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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.