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Finding the Fourth Proportional to 21,133.08, 31,698.90 and 6,341.40

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Solution

The fourth proportional to 21,133.08, 31,698.90 and 6,341.40 is: 9,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133.08 : 31,698.90 = 6,341.40 : x
  2. Step 2: Convert to fraction form
    21,133.08/31,698.90 = 6,341.40/x
  3. Step 3: Cross multiply
    21,133.08x = 31,698.90 × 6,341.40
  4. Step 4: Simplify right side
    21,133.08x = 201,015,404.46
  5. Step 5: Solve for x
    x = 201,015,404.46/21,133.08
  6. Step 6: Final answer
    x = 9,511.88

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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.