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Finding the Fourth Proportional to 24,096.96, 36,145.44 and 6,566.40

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Solution

The fourth proportional to 24,096.96, 36,145.44 and 6,566.40 is: 9,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096.96 : 36,145.44 = 6,566.40 : x
  2. Step 2: Convert to fraction form
    24,096.96/36,145.44 = 6,566.40/x
  3. Step 3: Cross multiply
    24,096.96x = 36,145.44 × 6,566.40
  4. Step 4: Simplify right side
    24,096.96x = 237,345,417.22
  5. Step 5: Solve for x
    x = 237,345,417.22/24,096.96
  6. Step 6: Final answer
    x = 9,849.60

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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.