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Finding the Fourth Proportional to 12,265.81, 16,925.29 and 7,228.87

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Solution

The fourth proportional to 12,265.81, 16,925.29 and 7,228.87 is: 9,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.81 : 16,925.29 = 7,228.87 : x
  2. Step 2: Convert to fraction form
    12,265.81/16,925.29 = 7,228.87/x
  3. Step 3: Cross multiply
    12,265.81x = 16,925.29 × 7,228.87
  4. Step 4: Simplify right side
    12,265.81x = 122,350,721.12
  5. Step 5: Solve for x
    x = 122,350,721.12/12,265.81
  6. Step 6: Final answer
    x = 9,974.94

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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.