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Finding the Fourth Proportional to 21,663.06, 32,494.60 and 7,812.06

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Solution

The fourth proportional to 21,663.06, 32,494.60 and 7,812.06 is: 11,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,663.06 : 32,494.60 = 7,812.06 : x
  2. Step 2: Convert to fraction form
    21,663.06/32,494.60 = 7,812.06/x
  3. Step 3: Cross multiply
    21,663.06x = 32,494.60 × 7,812.06
  4. Step 4: Simplify right side
    21,663.06x = 253,849,807.05
  5. Step 5: Solve for x
    x = 253,849,807.05/21,663.06
  6. Step 6: Final answer
    x = 11,718.09

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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.