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Finding the Fourth Proportional to 22,616.19, 31,210.84 and 12,544.30

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Solution

The fourth proportional to 22,616.19, 31,210.84 and 12,544.30 is: 17,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.19 : 31,210.84 = 12,544.30 : x
  2. Step 2: Convert to fraction form
    22,616.19/31,210.84 = 12,544.30/x
  3. Step 3: Cross multiply
    22,616.19x = 31,210.84 × 12,544.30
  4. Step 4: Simplify right side
    22,616.19x = 391,518,194.91
  5. Step 5: Solve for x
    x = 391,518,194.91/22,616.19
  6. Step 6: Final answer
    x = 17,311.41

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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.