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Finding the Fourth Proportional to 15,209.84, 20,989.80 and 8,922.32

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Solution

The fourth proportional to 15,209.84, 20,989.80 and 8,922.32 is: 12,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.84 : 20,989.80 = 8,922.32 : x
  2. Step 2: Convert to fraction form
    15,209.84/20,989.80 = 8,922.32/x
  3. Step 3: Cross multiply
    15,209.84x = 20,989.80 × 8,922.32
  4. Step 4: Simplify right side
    15,209.84x = 187,277,712.34
  5. Step 5: Solve for x
    x = 187,277,712.34/15,209.84
  6. Step 6: Final answer
    x = 12,312.93

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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.