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Finding the Fourth Proportional to 21,737.21, 32,602.14 and 9,887.31

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Solution

The fourth proportional to 21,737.21, 32,602.14 and 9,887.31 is: 14,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737.21 : 32,602.14 = 9,887.31 : x
  2. Step 2: Convert to fraction form
    21,737.21/32,602.14 = 9,887.31/x
  3. Step 3: Cross multiply
    21,737.21x = 32,602.14 × 9,887.31
  4. Step 4: Simplify right side
    21,737.21x = 322,347,464.84
  5. Step 5: Solve for x
    x = 322,347,464.84/21,737.21
  6. Step 6: Final answer
    x = 14,829.30

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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.