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Finding the Fourth Proportional to 21,730.96, 32,611.98 and 9,259.72

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Solution

The fourth proportional to 21,730.96, 32,611.98 and 9,259.72 is: 13,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.96 : 32,611.98 = 9,259.72 : x
  2. Step 2: Convert to fraction form
    21,730.96/32,611.98 = 9,259.72/x
  3. Step 3: Cross multiply
    21,730.96x = 32,611.98 × 9,259.72
  4. Step 4: Simplify right side
    21,730.96x = 301,977,803.45
  5. Step 5: Solve for x
    x = 301,977,803.45/21,730.96
  6. Step 6: Final answer
    x = 13,896.20

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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.