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Finding the Fourth Proportional to 13,007.56, 19,501.80 and 8,837.20

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Solution

The fourth proportional to 13,007.56, 19,501.80 and 8,837.20 is: 13,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.56 : 19,501.80 = 8,837.20 : x
  2. Step 2: Convert to fraction form
    13,007.56/19,501.80 = 8,837.20/x
  3. Step 3: Cross multiply
    13,007.56x = 19,501.80 × 8,837.20
  4. Step 4: Simplify right side
    13,007.56x = 172,341,306.96
  5. Step 5: Solve for x
    x = 172,341,306.96/13,007.56
  6. Step 6: Final answer
    x = 13,249.32

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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.