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Finding the Fourth Proportional to 38,509.61, 57,763.95 and 12,214.58

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Solution

The fourth proportional to 38,509.61, 57,763.95 and 12,214.58 is: 18,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.61 : 57,763.95 = 12,214.58 : x
  2. Step 2: Convert to fraction form
    38,509.61/57,763.95 = 12,214.58/x
  3. Step 3: Cross multiply
    38,509.61x = 57,763.95 × 12,214.58
  4. Step 4: Simplify right side
    38,509.61x = 705,562,099.57
  5. Step 5: Solve for x
    x = 705,562,099.57/38,509.61
  6. Step 6: Final answer
    x = 18,321.72

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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.