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Finding the Fourth Proportional to 21,848, 32,772 and 7,069.28

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Solution

The fourth proportional to 21,848, 32,772 and 7,069.28 is: 10,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,848 : 32,772 = 7,069.28 : x
  2. Step 2: Convert to fraction form
    21,848/32,772 = 7,069.28/x
  3. Step 3: Cross multiply
    21,848x = 32,772 × 7,069.28
  4. Step 4: Simplify right side
    21,848x = 231,674,444.16
  5. Step 5: Solve for x
    x = 231,674,444.16/21,848
  6. Step 6: Final answer
    x = 10,603.92

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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.