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Finding the Fourth Proportional to 15,785.96, 23,689.50 and 6,551.96

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Solution

The fourth proportional to 15,785.96, 23,689.50 and 6,551.96 is: 9,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.96 : 23,689.50 = 6,551.96 : x
  2. Step 2: Convert to fraction form
    15,785.96/23,689.50 = 6,551.96/x
  3. Step 3: Cross multiply
    15,785.96x = 23,689.50 × 6,551.96
  4. Step 4: Simplify right side
    15,785.96x = 155,212,656.42
  5. Step 5: Solve for x
    x = 155,212,656.42/15,785.96
  6. Step 6: Final answer
    x = 9,832.32

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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.