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Finding the Fourth Proportional to 22,615.12, 31,205.64 and 13,187.92

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Solution

The fourth proportional to 22,615.12, 31,205.64 and 13,187.92 is: 18,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.12 : 31,205.64 = 13,187.92 : x
  2. Step 2: Convert to fraction form
    22,615.12/31,205.64 = 13,187.92/x
  3. Step 3: Cross multiply
    22,615.12x = 31,205.64 × 13,187.92
  4. Step 4: Simplify right side
    22,615.12x = 411,537,483.87
  5. Step 5: Solve for x
    x = 411,537,483.87/22,615.12
  6. Step 6: Final answer
    x = 18,197.45

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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.