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Finding the Fourth Proportional to 22,696.52, 34,015.95 and 10,203.20

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Solution

The fourth proportional to 22,696.52, 34,015.95 and 10,203.20 is: 15,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.52 : 34,015.95 = 10,203.20 : x
  2. Step 2: Convert to fraction form
    22,696.52/34,015.95 = 10,203.20/x
  3. Step 3: Cross multiply
    22,696.52x = 34,015.95 × 10,203.20
  4. Step 4: Simplify right side
    22,696.52x = 347,071,541.04
  5. Step 5: Solve for x
    x = 347,071,541.04/22,696.52
  6. Step 6: Final answer
    x = 15,291.84

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1.5x scale

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.