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Finding the Fourth Proportional to 22,617.12, 31,210.80 and 12,546

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Solution

The fourth proportional to 22,617.12, 31,210.80 and 12,546 is: 17,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.12 : 31,210.80 = 12,546 : x
  2. Step 2: Convert to fraction form
    22,617.12/31,210.80 = 12,546/x
  3. Step 3: Cross multiply
    22,617.12x = 31,210.80 × 12,546
  4. Step 4: Simplify right side
    22,617.12x = 391,570,696.80
  5. Step 5: Solve for x
    x = 391,570,696.80/22,617.12
  6. Step 6: Final answer
    x = 17,313.02

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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.