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Finding the Fourth Proportional to 23,802.66, 35,691.50 and 8,216.58

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Solution

The fourth proportional to 23,802.66, 35,691.50 and 8,216.58 is: 12,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.66 : 35,691.50 = 8,216.58 : x
  2. Step 2: Convert to fraction form
    23,802.66/35,691.50 = 8,216.58/x
  3. Step 3: Cross multiply
    23,802.66x = 35,691.50 × 8,216.58
  4. Step 4: Simplify right side
    23,802.66x = 293,262,065.07
  5. Step 5: Solve for x
    x = 293,262,065.07/23,802.66
  6. Step 6: Final answer
    x = 12,320.56

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1.5x scale

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.