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Finding the Fourth Proportional to 23,242.77, 34,866.64 and 7,442.16

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Solution

The fourth proportional to 23,242.77, 34,866.64 and 7,442.16 is: 11,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.77 : 34,866.64 = 7,442.16 : x
  2. Step 2: Convert to fraction form
    23,242.77/34,866.64 = 7,442.16/x
  3. Step 3: Cross multiply
    23,242.77x = 34,866.64 × 7,442.16
  4. Step 4: Simplify right side
    23,242.77x = 259,482,902.00
  5. Step 5: Solve for x
    x = 259,482,902.00/23,242.77
  6. Step 6: Final answer
    x = 11,164.03

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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.