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Finding the Fourth Proportional to 24,477.74, 36,716.54 and 6,947.58

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Solution

The fourth proportional to 24,477.74, 36,716.54 and 6,947.58 is: 10,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.74 : 36,716.54 = 6,947.58 : x
  2. Step 2: Convert to fraction form
    24,477.74/36,716.54 = 6,947.58/x
  3. Step 3: Cross multiply
    24,477.74x = 36,716.54 × 6,947.58
  4. Step 4: Simplify right side
    24,477.74x = 255,091,064.24
  5. Step 5: Solve for x
    x = 255,091,064.24/24,477.74
  6. Step 6: Final answer
    x = 10,421.35

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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.