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Finding the Fourth Proportional to 22,567.80, 31,143.58 and 12,358.78

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Solution

The fourth proportional to 22,567.80, 31,143.58 and 12,358.78 is: 17,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.80 : 31,143.58 = 12,358.78 : x
  2. Step 2: Convert to fraction form
    22,567.80/31,143.58 = 12,358.78/x
  3. Step 3: Cross multiply
    22,567.80x = 31,143.58 × 12,358.78
  4. Step 4: Simplify right side
    22,567.80x = 384,896,653.63
  5. Step 5: Solve for x
    x = 384,896,653.63/22,567.80
  6. Step 6: Final answer
    x = 17,055.13

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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.