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Finding the Fourth Proportional to 38,497.80, 57,746.70 and 12,210.60

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Solution

The fourth proportional to 38,497.80, 57,746.70 and 12,210.60 is: 18,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.80 : 57,746.70 = 12,210.60 : x
  2. Step 2: Convert to fraction form
    38,497.80/57,746.70 = 12,210.60/x
  3. Step 3: Cross multiply
    38,497.80x = 57,746.70 × 12,210.60
  4. Step 4: Simplify right side
    38,497.80x = 705,121,855.02
  5. Step 5: Solve for x
    x = 705,121,855.02/38,497.80
  6. Step 6: Final answer
    x = 18,315.90

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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.