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Finding the Fourth Proportional to 24,624.80, 36,943.27 and 7,094.47

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Solution

The fourth proportional to 24,624.80, 36,943.27 and 7,094.47 is: 10,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624.80 : 36,943.27 = 7,094.47 : x
  2. Step 2: Convert to fraction form
    24,624.80/36,943.27 = 7,094.47/x
  3. Step 3: Cross multiply
    24,624.80x = 36,943.27 × 7,094.47
  4. Step 4: Simplify right side
    24,624.80x = 262,092,920.72
  5. Step 5: Solve for x
    x = 262,092,920.72/24,624.80
  6. Step 6: Final answer
    x = 10,643.45

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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.