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Finding the Fourth Proportional to 23,284.90, 34,924.47 and 6,646.39

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Solution

The fourth proportional to 23,284.90, 34,924.47 and 6,646.39 is: 9,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.90 : 34,924.47 = 6,646.39 : x
  2. Step 2: Convert to fraction form
    23,284.90/34,924.47 = 6,646.39/x
  3. Step 3: Cross multiply
    23,284.90x = 34,924.47 × 6,646.39
  4. Step 4: Simplify right side
    23,284.90x = 232,121,535.93
  5. Step 5: Solve for x
    x = 232,121,535.93/23,284.90
  6. Step 6: Final answer
    x = 9,968.76

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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.