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Finding the Fourth Proportional to 24,357.84, 36,538.17 and 6,829.03

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Solution

The fourth proportional to 24,357.84, 36,538.17 and 6,829.03 is: 10,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.84 : 36,538.17 = 6,829.03 : x
  2. Step 2: Convert to fraction form
    24,357.84/36,538.17 = 6,829.03/x
  3. Step 3: Cross multiply
    24,357.84x = 36,538.17 × 6,829.03
  4. Step 4: Simplify right side
    24,357.84x = 249,520,259.08
  5. Step 5: Solve for x
    x = 249,520,259.08/24,357.84
  6. Step 6: Final answer
    x = 10,243.94

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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.