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Finding the Fourth Proportional to 12,364.25, 18,549.14 and 3,931.23

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Solution

The fourth proportional to 12,364.25, 18,549.14 and 3,931.23 is: 5,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.25 : 18,549.14 = 3,931.23 : x
  2. Step 2: Convert to fraction form
    12,364.25/18,549.14 = 3,931.23/x
  3. Step 3: Cross multiply
    12,364.25x = 18,549.14 × 3,931.23
  4. Step 4: Simplify right side
    12,364.25x = 72,920,985.55
  5. Step 5: Solve for x
    x = 72,920,985.55/12,364.25
  6. Step 6: Final answer
    x = 5,897.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.