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Finding the Fourth Proportional to 15,088.68, 20,822.13 and 8,374.32

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Solution

The fourth proportional to 15,088.68, 20,822.13 and 8,374.32 is: 11,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088.68 : 20,822.13 = 8,374.32 : x
  2. Step 2: Convert to fraction form
    15,088.68/20,822.13 = 8,374.32/x
  3. Step 3: Cross multiply
    15,088.68x = 20,822.13 × 8,374.32
  4. Step 4: Simplify right side
    15,088.68x = 174,371,179.70
  5. Step 5: Solve for x
    x = 174,371,179.70/15,088.68
  6. Step 6: Final answer
    x = 11,556.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.