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Finding the Fourth Proportional to 24,807.04, 37,212.16 and 10,956

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Solution

The fourth proportional to 24,807.04, 37,212.16 and 10,956 is: 16,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.04 : 37,212.16 = 10,956 : x
  2. Step 2: Convert to fraction form
    24,807.04/37,212.16 = 10,956/x
  3. Step 3: Cross multiply
    24,807.04x = 37,212.16 × 10,956
  4. Step 4: Simplify right side
    24,807.04x = 407,696,424.96
  5. Step 5: Solve for x
    x = 407,696,424.96/24,807.04
  6. Step 6: Final answer
    x = 16,434.71

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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.