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Finding the Fourth Proportional to 22,602, 31,194.36 and 13,175.76

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Solution

The fourth proportional to 22,602, 31,194.36 and 13,175.76 is: 18,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602 : 31,194.36 = 13,175.76 : x
  2. Step 2: Convert to fraction form
    22,602/31,194.36 = 13,175.76/x
  3. Step 3: Cross multiply
    22,602x = 31,194.36 × 13,175.76
  4. Step 4: Simplify right side
    22,602x = 411,009,400.71
  5. Step 5: Solve for x
    x = 411,009,400.71/22,602
  6. Step 6: Final answer
    x = 18,184.65

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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.