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Finding the Fourth Proportional to 23,146.50, 34,719.75 and 7,564.13

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Solution

The fourth proportional to 23,146.50, 34,719.75 and 7,564.13 is: 11,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.50 : 34,719.75 = 7,564.13 : x
  2. Step 2: Convert to fraction form
    23,146.50/34,719.75 = 7,564.13/x
  3. Step 3: Cross multiply
    23,146.50x = 34,719.75 × 7,564.13
  4. Step 4: Simplify right side
    23,146.50x = 262,624,528.97
  5. Step 5: Solve for x
    x = 262,624,528.97/23,146.50
  6. Step 6: Final answer
    x = 11,346.19

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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.