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Finding the Fourth Proportional to 21,932.84, 32,901.35 and 6,137.88

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Solution

The fourth proportional to 21,932.84, 32,901.35 and 6,137.88 is: 9,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.84 : 32,901.35 = 6,137.88 : x
  2. Step 2: Convert to fraction form
    21,932.84/32,901.35 = 6,137.88/x
  3. Step 3: Cross multiply
    21,932.84x = 32,901.35 × 6,137.88
  4. Step 4: Simplify right side
    21,932.84x = 201,944,538.14
  5. Step 5: Solve for x
    x = 201,944,538.14/21,932.84
  6. Step 6: Final answer
    x = 9,207.40

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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.