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Finding the Fourth Proportional to 15,165.03, 22,751.99 and 7,774.65

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Solution

The fourth proportional to 15,165.03, 22,751.99 and 7,774.65 is: 11,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.03 : 22,751.99 = 7,774.65 : x
  2. Step 2: Convert to fraction form
    15,165.03/22,751.99 = 7,774.65/x
  3. Step 3: Cross multiply
    15,165.03x = 22,751.99 × 7,774.65
  4. Step 4: Simplify right side
    15,165.03x = 176,888,749.34
  5. Step 5: Solve for x
    x = 176,888,749.34/15,165.03
  6. Step 6: Final answer
    x = 11,664.25

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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.