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Finding the Fourth Proportional to 23,284.50, 34,927.91 and 6,647.00

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Solution

The fourth proportional to 23,284.50, 34,927.91 and 6,647.00 is: 9,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.50 : 34,927.91 = 6,647.00 : x
  2. Step 2: Convert to fraction form
    23,284.50/34,927.91 = 6,647.00/x
  3. Step 3: Cross multiply
    23,284.50x = 34,927.91 × 6,647.00
  4. Step 4: Simplify right side
    23,284.50x = 232,165,634.82
  5. Step 5: Solve for x
    x = 232,165,634.82/23,284.50
  6. Step 6: Final answer
    x = 9,970.82

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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.