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Finding the Fourth Proportional to 15,645.80, 23,461.02 and 5,784.68

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Solution

The fourth proportional to 15,645.80, 23,461.02 and 5,784.68 is: 8,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645.80 : 23,461.02 = 5,784.68 : x
  2. Step 2: Convert to fraction form
    15,645.80/23,461.02 = 5,784.68/x
  3. Step 3: Cross multiply
    15,645.80x = 23,461.02 × 5,784.68
  4. Step 4: Simplify right side
    15,645.80x = 135,714,493.17
  5. Step 5: Solve for x
    x = 135,714,493.17/15,645.80
  6. Step 6: Final answer
    x = 8,674.18

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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.