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Finding the Fourth Proportional to 15,146.46, 22,719.33 and 4,616.46

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Solution

The fourth proportional to 15,146.46, 22,719.33 and 4,616.46 is: 6,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.46 : 22,719.33 = 4,616.46 : x
  2. Step 2: Convert to fraction form
    15,146.46/22,719.33 = 4,616.46/x
  3. Step 3: Cross multiply
    15,146.46x = 22,719.33 × 4,616.46
  4. Step 4: Simplify right side
    15,146.46x = 104,882,878.17
  5. Step 5: Solve for x
    x = 104,882,878.17/15,146.46
  6. Step 6: Final answer
    x = 6,924.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.