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Finding the Fourth Proportional to 17,764.40, 26,644.08 and 6,075.92

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Solution

The fourth proportional to 17,764.40, 26,644.08 and 6,075.92 is: 9,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.40 : 26,644.08 = 6,075.92 : x
  2. Step 2: Convert to fraction form
    17,764.40/26,644.08 = 6,075.92/x
  3. Step 3: Cross multiply
    17,764.40x = 26,644.08 × 6,075.92
  4. Step 4: Simplify right side
    17,764.40x = 161,887,298.55
  5. Step 5: Solve for x
    x = 161,887,298.55/17,764.40
  6. Step 6: Final answer
    x = 9,113.02

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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.