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Finding the Fourth Proportional to 22,523.86, 31,081.35 and 12,963.16

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Solution

The fourth proportional to 22,523.86, 31,081.35 and 12,963.16 is: 17,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.86 : 31,081.35 = 12,963.16 : x
  2. Step 2: Convert to fraction form
    22,523.86/31,081.35 = 12,963.16/x
  3. Step 3: Cross multiply
    22,523.86x = 31,081.35 × 12,963.16
  4. Step 4: Simplify right side
    22,523.86x = 402,912,513.07
  5. Step 5: Solve for x
    x = 402,912,513.07/22,523.86
  6. Step 6: Final answer
    x = 17,888.25

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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.