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Finding the Fourth Proportional to 22,541.64, 31,106.88 and 12,469.80

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Solution

The fourth proportional to 22,541.64, 31,106.88 and 12,469.80 is: 17,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,541.64 : 31,106.88 = 12,469.80 : x
  2. Step 2: Convert to fraction form
    22,541.64/31,106.88 = 12,469.80/x
  3. Step 3: Cross multiply
    22,541.64x = 31,106.88 × 12,469.80
  4. Step 4: Simplify right side
    22,541.64x = 387,896,572.22
  5. Step 5: Solve for x
    x = 387,896,572.22/22,541.64
  6. Step 6: Final answer
    x = 17,208.00

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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.