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Finding the Fourth Proportional to 21,724.60, 32,597.70 and 8,577.40

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Solution

The fourth proportional to 21,724.60, 32,597.70 and 8,577.40 is: 12,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.60 : 32,597.70 = 8,577.40 : x
  2. Step 2: Convert to fraction form
    21,724.60/32,597.70 = 8,577.40/x
  3. Step 3: Cross multiply
    21,724.60x = 32,597.70 × 8,577.40
  4. Step 4: Simplify right side
    21,724.60x = 279,603,511.98
  5. Step 5: Solve for x
    x = 279,603,511.98/21,724.60
  6. Step 6: Final answer
    x = 12,870.36

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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.