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Finding the Fourth Proportional to 23,671.36, 35,511.36 and 9,820

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Solution

The fourth proportional to 23,671.36, 35,511.36 and 9,820 is: 14,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671.36 : 35,511.36 = 9,820 : x
  2. Step 2: Convert to fraction form
    23,671.36/35,511.36 = 9,820/x
  3. Step 3: Cross multiply
    23,671.36x = 35,511.36 × 9,820
  4. Step 4: Simplify right side
    23,671.36x = 348,721,555.20
  5. Step 5: Solve for x
    x = 348,721,555.20/23,671.36
  6. Step 6: Final answer
    x = 14,731.79

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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.