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Finding the Fourth Proportional to 15,109.11, 22,655.88 and 6,782.00

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Solution

The fourth proportional to 15,109.11, 22,655.88 and 6,782.00 is: 10,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.11 : 22,655.88 = 6,782.00 : x
  2. Step 2: Convert to fraction form
    15,109.11/22,655.88 = 6,782.00/x
  3. Step 3: Cross multiply
    15,109.11x = 22,655.88 × 6,782.00
  4. Step 4: Simplify right side
    15,109.11x = 153,652,064.88
  5. Step 5: Solve for x
    x = 153,652,064.88/15,109.11
  6. Step 6: Final answer
    x = 10,169.50

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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.