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Finding the Fourth Proportional to 21,395.88, 32,104.76 and 9,707.58

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Solution

The fourth proportional to 21,395.88, 32,104.76 and 9,707.58 is: 14,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,395.88 : 32,104.76 = 9,707.58 : x
  2. Step 2: Convert to fraction form
    21,395.88/32,104.76 = 9,707.58/x
  3. Step 3: Cross multiply
    21,395.88x = 32,104.76 × 9,707.58
  4. Step 4: Simplify right side
    21,395.88x = 311,659,477.54
  5. Step 5: Solve for x
    x = 311,659,477.54/21,395.88
  6. Step 6: Final answer
    x = 14,566.33

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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.