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Finding the Fourth Proportional to 24,176.40, 36,264.60 and 6,646.20

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Solution

The fourth proportional to 24,176.40, 36,264.60 and 6,646.20 is: 9,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.40 : 36,264.60 = 6,646.20 : x
  2. Step 2: Convert to fraction form
    24,176.40/36,264.60 = 6,646.20/x
  3. Step 3: Cross multiply
    24,176.40x = 36,264.60 × 6,646.20
  4. Step 4: Simplify right side
    24,176.40x = 241,021,784.52
  5. Step 5: Solve for x
    x = 241,021,784.52/24,176.40
  6. Step 6: Final answer
    x = 9,969.30

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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.