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Finding the Fourth Proportional to 24,359.71, 36,535.44 and 6,825.51

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Solution

The fourth proportional to 24,359.71, 36,535.44 and 6,825.51 is: 10,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,359.71 : 36,535.44 = 6,825.51 : x
  2. Step 2: Convert to fraction form
    24,359.71/36,535.44 = 6,825.51/x
  3. Step 3: Cross multiply
    24,359.71x = 36,535.44 × 6,825.51
  4. Step 4: Simplify right side
    24,359.71x = 249,373,011.07
  5. Step 5: Solve for x
    x = 249,373,011.07/24,359.71
  6. Step 6: Final answer
    x = 10,237.11

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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.