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Finding the Fourth Proportional to 21,809.24, 32,710.62 and 7,955

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Solution

The fourth proportional to 21,809.24, 32,710.62 and 7,955 is: 11,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.24 : 32,710.62 = 7,955 : x
  2. Step 2: Convert to fraction form
    21,809.24/32,710.62 = 7,955/x
  3. Step 3: Cross multiply
    21,809.24x = 32,710.62 × 7,955
  4. Step 4: Simplify right side
    21,809.24x = 260,212,982.10
  5. Step 5: Solve for x
    x = 260,212,982.10/21,809.24
  6. Step 6: Final answer
    x = 11,931.32

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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.