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Finding the Fourth Proportional to 19,671.76, 29,508.02 and 5,820.76

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Solution

The fourth proportional to 19,671.76, 29,508.02 and 5,820.76 is: 8,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.76 : 29,508.02 = 5,820.76 : x
  2. Step 2: Convert to fraction form
    19,671.76/29,508.02 = 5,820.76/x
  3. Step 3: Cross multiply
    19,671.76x = 29,508.02 × 5,820.76
  4. Step 4: Simplify right side
    19,671.76x = 171,759,102.50
  5. Step 5: Solve for x
    x = 171,759,102.50/19,671.76
  6. Step 6: Final answer
    x = 8,731.25

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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.