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Finding the Fourth Proportional to 24,176.64, 36,265.60 and 6,646.40

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Solution

The fourth proportional to 24,176.64, 36,265.60 and 6,646.40 is: 9,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.64 : 36,265.60 = 6,646.40 : x
  2. Step 2: Convert to fraction form
    24,176.64/36,265.60 = 6,646.40/x
  3. Step 3: Cross multiply
    24,176.64x = 36,265.60 × 6,646.40
  4. Step 4: Simplify right side
    24,176.64x = 241,035,683.84
  5. Step 5: Solve for x
    x = 241,035,683.84/24,176.64
  6. Step 6: Final answer
    x = 9,969.78

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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.