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Finding the Fourth Proportional to 22,758.46, 31,406.74 and 13,200.19

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Solution

The fourth proportional to 22,758.46, 31,406.74 and 13,200.19 is: 18,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.46 : 31,406.74 = 13,200.19 : x
  2. Step 2: Convert to fraction form
    22,758.46/31,406.74 = 13,200.19/x
  3. Step 3: Cross multiply
    22,758.46x = 31,406.74 × 13,200.19
  4. Step 4: Simplify right side
    22,758.46x = 414,574,935.28
  5. Step 5: Solve for x
    x = 414,574,935.28/22,758.46
  6. Step 6: Final answer
    x = 18,216.30

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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.