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Finding the Fourth Proportional to 21,671.01, 32,454.57 and 11,785.77

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Solution

The fourth proportional to 21,671.01, 32,454.57 and 11,785.77 is: 17,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.01 : 32,454.57 = 11,785.77 : x
  2. Step 2: Convert to fraction form
    21,671.01/32,454.57 = 11,785.77/x
  3. Step 3: Cross multiply
    21,671.01x = 32,454.57 × 11,785.77
  4. Step 4: Simplify right side
    21,671.01x = 382,502,097.47
  5. Step 5: Solve for x
    x = 382,502,097.47/21,671.01
  6. Step 6: Final answer
    x = 17,650.40

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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.