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Finding the Fourth Proportional to 24,356.68, 36,536.24 and 6,828.28

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Solution

The fourth proportional to 24,356.68, 36,536.24 and 6,828.28 is: 10,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.68 : 36,536.24 = 6,828.28 : x
  2. Step 2: Convert to fraction form
    24,356.68/36,536.24 = 6,828.28/x
  3. Step 3: Cross multiply
    24,356.68x = 36,536.24 × 6,828.28
  4. Step 4: Simplify right side
    24,356.68x = 249,479,676.87
  5. Step 5: Solve for x
    x = 249,479,676.87/24,356.68
  6. Step 6: Final answer
    x = 10,242.76

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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.