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Finding the Fourth Proportional to 24,359.21, 36,534.69 and 6,825

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Solution

The fourth proportional to 24,359.21, 36,534.69 and 6,825 is: 10,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,359.21 : 36,534.69 = 6,825 : x
  2. Step 2: Convert to fraction form
    24,359.21/36,534.69 = 6,825/x
  3. Step 3: Cross multiply
    24,359.21x = 36,534.69 × 6,825
  4. Step 4: Simplify right side
    24,359.21x = 249,349,259.25
  5. Step 5: Solve for x
    x = 249,349,259.25/24,359.21
  6. Step 6: Final answer
    x = 10,236.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.