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Finding the Fourth Proportional to 21,463.38, 32,206.01 and 9,775.08

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Solution

The fourth proportional to 21,463.38, 32,206.01 and 9,775.08 is: 14,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.38 : 32,206.01 = 9,775.08 : x
  2. Step 2: Convert to fraction form
    21,463.38/32,206.01 = 9,775.08/x
  3. Step 3: Cross multiply
    21,463.38x = 32,206.01 × 9,775.08
  4. Step 4: Simplify right side
    21,463.38x = 314,816,275.36
  5. Step 5: Solve for x
    x = 314,816,275.36/21,463.38
  6. Step 6: Final answer
    x = 14,667.60

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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.