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Finding the Fourth Proportional to 22,562.46, 31,103.58 and 15,827.19

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Solution

The fourth proportional to 22,562.46, 31,103.58 and 15,827.19 is: 21,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.46 : 31,103.58 = 15,827.19 : x
  2. Step 2: Convert to fraction form
    22,562.46/31,103.58 = 15,827.19/x
  3. Step 3: Cross multiply
    22,562.46x = 31,103.58 × 15,827.19
  4. Step 4: Simplify right side
    22,562.46x = 492,282,270.34
  5. Step 5: Solve for x
    x = 492,282,270.34/22,562.46
  6. Step 6: Final answer
    x = 21,818.64

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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.