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Finding the Fourth Proportional to 15,141.06, 22,678.77 and 7,333.50

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Solution

The fourth proportional to 15,141.06, 22,678.77 and 7,333.50 is: 10,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.06 : 22,678.77 = 7,333.50 : x
  2. Step 2: Convert to fraction form
    15,141.06/22,678.77 = 7,333.50/x
  3. Step 3: Cross multiply
    15,141.06x = 22,678.77 × 7,333.50
  4. Step 4: Simplify right side
    15,141.06x = 166,314,759.80
  5. Step 5: Solve for x
    x = 166,314,759.80/15,141.06
  6. Step 6: Final answer
    x = 10,984.35

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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.