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Finding the Fourth Proportional to 21,886.16, 32,826.48 and 7,093.76

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Solution

The fourth proportional to 21,886.16, 32,826.48 and 7,093.76 is: 10,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.16 : 32,826.48 = 7,093.76 : x
  2. Step 2: Convert to fraction form
    21,886.16/32,826.48 = 7,093.76/x
  3. Step 3: Cross multiply
    21,886.16x = 32,826.48 × 7,093.76
  4. Step 4: Simplify right side
    21,886.16x = 232,863,170.76
  5. Step 5: Solve for x
    x = 232,863,170.76/21,886.16
  6. Step 6: Final answer
    x = 10,639.75

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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.