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Finding the Fourth Proportional to 12,642.28, 17,442.75 and 7,603.98

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Solution

The fourth proportional to 12,642.28, 17,442.75 and 7,603.98 is: 10,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.28 : 17,442.75 = 7,603.98 : x
  2. Step 2: Convert to fraction form
    12,642.28/17,442.75 = 7,603.98/x
  3. Step 3: Cross multiply
    12,642.28x = 17,442.75 × 7,603.98
  4. Step 4: Simplify right side
    12,642.28x = 132,634,322.15
  5. Step 5: Solve for x
    x = 132,634,322.15/12,642.28
  6. Step 6: Final answer
    x = 10,491.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.