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Finding the Fourth Proportional to 24,202.76, 36,271.84 and 12,935

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Solution

The fourth proportional to 24,202.76, 36,271.84 and 12,935 is: 19,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.76 : 36,271.84 = 12,935 : x
  2. Step 2: Convert to fraction form
    24,202.76/36,271.84 = 12,935/x
  3. Step 3: Cross multiply
    24,202.76x = 36,271.84 × 12,935
  4. Step 4: Simplify right side
    24,202.76x = 469,176,250.40
  5. Step 5: Solve for x
    x = 469,176,250.40/24,202.76
  6. Step 6: Final answer
    x = 19,385.24

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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.