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Finding the Fourth Proportional to 38,603.40, 57,909.42 and 12,302.16

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Solution

The fourth proportional to 38,603.40, 57,909.42 and 12,302.16 is: 18,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,603.40 : 57,909.42 = 12,302.16 : x
  2. Step 2: Convert to fraction form
    38,603.40/57,909.42 = 12,302.16/x
  3. Step 3: Cross multiply
    38,603.40x = 57,909.42 × 12,302.16
  4. Step 4: Simplify right side
    38,603.40x = 712,410,950.35
  5. Step 5: Solve for x
    x = 712,410,950.35/38,603.40
  6. Step 6: Final answer
    x = 18,454.62

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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.