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Finding the Fourth Proportional to 21,769.48, 32,642.07 and 10,652.23

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Solution

The fourth proportional to 21,769.48, 32,642.07 and 10,652.23 is: 15,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,769.48 : 32,642.07 = 10,652.23 : x
  2. Step 2: Convert to fraction form
    21,769.48/32,642.07 = 10,652.23/x
  3. Step 3: Cross multiply
    21,769.48x = 32,642.07 × 10,652.23
  4. Step 4: Simplify right side
    21,769.48x = 347,710,837.32
  5. Step 5: Solve for x
    x = 347,710,837.32/21,769.48
  6. Step 6: Final answer
    x = 15,972.40

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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.