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Finding the Fourth Proportional to 24,866.40, 37,270.80 and 10,065.60

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Solution

The fourth proportional to 24,866.40, 37,270.80 and 10,065.60 is: 15,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866.40 : 37,270.80 = 10,065.60 : x
  2. Step 2: Convert to fraction form
    24,866.40/37,270.80 = 10,065.60/x
  3. Step 3: Cross multiply
    24,866.40x = 37,270.80 × 10,065.60
  4. Step 4: Simplify right side
    24,866.40x = 375,152,964.48
  5. Step 5: Solve for x
    x = 375,152,964.48/24,866.40
  6. Step 6: Final answer
    x = 15,086.74

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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.