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Finding the Fourth Proportional to 22,758.80, 31,405.19 and 12,686.45

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Solution

The fourth proportional to 22,758.80, 31,405.19 and 12,686.45 is: 17,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.80 : 31,405.19 = 12,686.45 : x
  2. Step 2: Convert to fraction form
    22,758.80/31,405.19 = 12,686.45/x
  3. Step 3: Cross multiply
    22,758.80x = 31,405.19 × 12,686.45
  4. Step 4: Simplify right side
    22,758.80x = 398,420,152.22
  5. Step 5: Solve for x
    x = 398,420,152.22/22,758.80
  6. Step 6: Final answer
    x = 17,506.21

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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.