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Finding the Fourth Proportional to 23,344.50, 35,017.06 and 7,762.13

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Solution

The fourth proportional to 23,344.50, 35,017.06 and 7,762.13 is: 11,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344.50 : 35,017.06 = 7,762.13 : x
  2. Step 2: Convert to fraction form
    23,344.50/35,017.06 = 7,762.13/x
  3. Step 3: Cross multiply
    23,344.50x = 35,017.06 × 7,762.13
  4. Step 4: Simplify right side
    23,344.50x = 271,806,758.04
  5. Step 5: Solve for x
    x = 271,806,758.04/23,344.50
  6. Step 6: Final answer
    x = 11,643.29

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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.