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Finding the Fourth Proportional to 24,235.20, 36,352.68 and 6,465.84

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Solution

The fourth proportional to 24,235.20, 36,352.68 and 6,465.84 is: 9,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,235.20 : 36,352.68 = 6,465.84 : x
  2. Step 2: Convert to fraction form
    24,235.20/36,352.68 = 6,465.84/x
  3. Step 3: Cross multiply
    24,235.20x = 36,352.68 × 6,465.84
  4. Step 4: Simplify right side
    24,235.20x = 235,050,612.45
  5. Step 5: Solve for x
    x = 235,050,612.45/24,235.20
  6. Step 6: Final answer
    x = 9,698.73

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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.