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Finding the Fourth Proportional to 21,938.74, 32,908.83 and 6,356.50

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Solution

The fourth proportional to 21,938.74, 32,908.83 and 6,356.50 is: 9,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938.74 : 32,908.83 = 6,356.50 : x
  2. Step 2: Convert to fraction form
    21,938.74/32,908.83 = 6,356.50/x
  3. Step 3: Cross multiply
    21,938.74x = 32,908.83 × 6,356.50
  4. Step 4: Simplify right side
    21,938.74x = 209,184,977.90
  5. Step 5: Solve for x
    x = 209,184,977.90/21,938.74
  6. Step 6: Final answer
    x = 9,534.96

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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.