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Finding the Fourth Proportional to 15,111.50, 22,668.06 and 4,724.06

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Solution

The fourth proportional to 15,111.50, 22,668.06 and 4,724.06 is: 7,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.50 : 22,668.06 = 4,724.06 : x
  2. Step 2: Convert to fraction form
    15,111.50/22,668.06 = 4,724.06/x
  3. Step 3: Cross multiply
    15,111.50x = 22,668.06 × 4,724.06
  4. Step 4: Simplify right side
    15,111.50x = 107,085,275.52
  5. Step 5: Solve for x
    x = 107,085,275.52/15,111.50
  6. Step 6: Final answer
    x = 7,086.34

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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.