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Finding the Fourth Proportional to 22,009.68, 32,994.32 and 9,521.84

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Solution

The fourth proportional to 22,009.68, 32,994.32 and 9,521.84 is: 14,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.68 : 32,994.32 = 9,521.84 : x
  2. Step 2: Convert to fraction form
    22,009.68/32,994.32 = 9,521.84/x
  3. Step 3: Cross multiply
    22,009.68x = 32,994.32 × 9,521.84
  4. Step 4: Simplify right side
    22,009.68x = 314,166,635.95
  5. Step 5: Solve for x
    x = 314,166,635.95/22,009.68
  6. Step 6: Final answer
    x = 14,274.02

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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.