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Finding the Fourth Proportional to 21,703.68, 32,557.14 and 9,222.30

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Solution

The fourth proportional to 21,703.68, 32,557.14 and 9,222.30 is: 13,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.68 : 32,557.14 = 9,222.30 : x
  2. Step 2: Convert to fraction form
    21,703.68/32,557.14 = 9,222.30/x
  3. Step 3: Cross multiply
    21,703.68x = 32,557.14 × 9,222.30
  4. Step 4: Simplify right side
    21,703.68x = 300,251,712.22
  5. Step 5: Solve for x
    x = 300,251,712.22/21,703.68
  6. Step 6: Final answer
    x = 13,834.14

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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.