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Finding the Fourth Proportional to 24,710.40, 37,068 and 7,179.84

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Solution

The fourth proportional to 24,710.40, 37,068 and 7,179.84 is: 10,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.40 : 37,068 = 7,179.84 : x
  2. Step 2: Convert to fraction form
    24,710.40/37,068 = 7,179.84/x
  3. Step 3: Cross multiply
    24,710.40x = 37,068 × 7,179.84
  4. Step 4: Simplify right side
    24,710.40x = 266,142,309.12
  5. Step 5: Solve for x
    x = 266,142,309.12/24,710.40
  6. Step 6: Final answer
    x = 10,770.46

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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.