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Finding the Fourth Proportional to 21,671.84, 32,503.44 and 9,983.36

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Solution

The fourth proportional to 21,671.84, 32,503.44 and 9,983.36 is: 14,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.84 : 32,503.44 = 9,983.36 : x
  2. Step 2: Convert to fraction form
    21,671.84/32,503.44 = 9,983.36/x
  3. Step 3: Cross multiply
    21,671.84x = 32,503.44 × 9,983.36
  4. Step 4: Simplify right side
    21,671.84x = 324,493,542.76
  5. Step 5: Solve for x
    x = 324,493,542.76/21,671.84
  6. Step 6: Final answer
    x = 14,973.05

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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.