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Finding the Fourth Proportional to 24,180.60, 36,266.64 and 6,646.20

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Solution

The fourth proportional to 24,180.60, 36,266.64 and 6,646.20 is: 9,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180.60 : 36,266.64 = 6,646.20 : x
  2. Step 2: Convert to fraction form
    24,180.60/36,266.64 = 6,646.20/x
  3. Step 3: Cross multiply
    24,180.60x = 36,266.64 × 6,646.20
  4. Step 4: Simplify right side
    24,180.60x = 241,035,342.77
  5. Step 5: Solve for x
    x = 241,035,342.77/24,180.60
  6. Step 6: Final answer
    x = 9,968.13

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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.