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Finding the Fourth Proportional to 24,809.04, 37,215.16 and 10,958

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Solution

The fourth proportional to 24,809.04, 37,215.16 and 10,958 is: 16,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.04 : 37,215.16 = 10,958 : x
  2. Step 2: Convert to fraction form
    24,809.04/37,215.16 = 10,958/x
  3. Step 3: Cross multiply
    24,809.04x = 37,215.16 × 10,958
  4. Step 4: Simplify right side
    24,809.04x = 407,803,723.28
  5. Step 5: Solve for x
    x = 407,803,723.28/24,809.04
  6. Step 6: Final answer
    x = 16,437.71

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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.