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Finding the Fourth Proportional to 19,645.09, 29,464.71 and 6,497.53

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Solution

The fourth proportional to 19,645.09, 29,464.71 and 6,497.53 is: 9,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.09 : 29,464.71 = 6,497.53 : x
  2. Step 2: Convert to fraction form
    19,645.09/29,464.71 = 6,497.53/x
  3. Step 3: Cross multiply
    19,645.09x = 29,464.71 × 6,497.53
  4. Step 4: Simplify right side
    19,645.09x = 191,447,837.17
  5. Step 5: Solve for x
    x = 191,447,837.17/19,645.09
  6. Step 6: Final answer
    x = 9,745.33

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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.