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Finding the Fourth Proportional to 21,600.32, 32,403.68 and 7,746.08

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Solution

The fourth proportional to 21,600.32, 32,403.68 and 7,746.08 is: 11,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600.32 : 32,403.68 = 7,746.08 : x
  2. Step 2: Convert to fraction form
    21,600.32/32,403.68 = 7,746.08/x
  3. Step 3: Cross multiply
    21,600.32x = 32,403.68 × 7,746.08
  4. Step 4: Simplify right side
    21,600.32x = 251,001,497.57
  5. Step 5: Solve for x
    x = 251,001,497.57/21,600.32
  6. Step 6: Final answer
    x = 11,620.27

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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.