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Finding the Fourth Proportional to 15,115.08, 22,675.92 and 6,345

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Solution

The fourth proportional to 15,115.08, 22,675.92 and 6,345 is: 9,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115.08 : 22,675.92 = 6,345 : x
  2. Step 2: Convert to fraction form
    15,115.08/22,675.92 = 6,345/x
  3. Step 3: Cross multiply
    15,115.08x = 22,675.92 × 6,345
  4. Step 4: Simplify right side
    15,115.08x = 143,878,712.40
  5. Step 5: Solve for x
    x = 143,878,712.40/15,115.08
  6. Step 6: Final answer
    x = 9,518.89

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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.