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Finding the Fourth Proportional to 22,567.39, 31,143 and 12,495.83

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Solution

The fourth proportional to 22,567.39, 31,143 and 12,495.83 is: 17,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.39 : 31,143 = 12,495.83 : x
  2. Step 2: Convert to fraction form
    22,567.39/31,143 = 12,495.83/x
  3. Step 3: Cross multiply
    22,567.39x = 31,143 × 12,495.83
  4. Step 4: Simplify right side
    22,567.39x = 389,157,711.55
  5. Step 5: Solve for x
    x = 389,157,711.55/22,567.39
  6. Step 6: Final answer
    x = 17,244.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.