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Finding the Fourth Proportional to 22,616.16, 31,214.04 and 12,547.84

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Solution

The fourth proportional to 22,616.16, 31,214.04 and 12,547.84 is: 17,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.16 : 31,214.04 = 12,547.84 : x
  2. Step 2: Convert to fraction form
    22,616.16/31,214.04 = 12,547.84/x
  3. Step 3: Cross multiply
    22,616.16x = 31,214.04 × 12,547.84
  4. Step 4: Simplify right side
    22,616.16x = 391,668,716.93
  5. Step 5: Solve for x
    x = 391,668,716.93/22,616.16
  6. Step 6: Final answer
    x = 17,318.09

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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.