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Finding the Fourth Proportional to 21,671.50, 32,482.68 and 9,960.52

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Solution

The fourth proportional to 21,671.50, 32,482.68 and 9,960.52 is: 14,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.50 : 32,482.68 = 9,960.52 : x
  2. Step 2: Convert to fraction form
    21,671.50/32,482.68 = 9,960.52/x
  3. Step 3: Cross multiply
    21,671.50x = 32,482.68 × 9,960.52
  4. Step 4: Simplify right side
    21,671.50x = 323,544,383.79
  5. Step 5: Solve for x
    x = 323,544,383.79/21,671.50
  6. Step 6: Final answer
    x = 14,929.49

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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.