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Finding the Fourth Proportional to 17,627.19, 26,442.38 and 7,764.13

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Solution

The fourth proportional to 17,627.19, 26,442.38 and 7,764.13 is: 11,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.19 : 26,442.38 = 7,764.13 : x
  2. Step 2: Convert to fraction form
    17,627.19/26,442.38 = 7,764.13/x
  3. Step 3: Cross multiply
    17,627.19x = 26,442.38 × 7,764.13
  4. Step 4: Simplify right side
    17,627.19x = 205,302,075.83
  5. Step 5: Solve for x
    x = 205,302,075.83/17,627.19
  6. Step 6: Final answer
    x = 11,646.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.