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Finding the Fourth Proportional to 24,176.64, 36,261.86 and 6,647.84

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Solution

The fourth proportional to 24,176.64, 36,261.86 and 6,647.84 is: 9,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.64 : 36,261.86 = 6,647.84 : x
  2. Step 2: Convert to fraction form
    24,176.64/36,261.86 = 6,647.84/x
  3. Step 3: Cross multiply
    24,176.64x = 36,261.86 × 6,647.84
  4. Step 4: Simplify right side
    24,176.64x = 241,062,828.83
  5. Step 5: Solve for x
    x = 241,062,828.83/24,176.64
  6. Step 6: Final answer
    x = 9,970.90

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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.