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Finding the Fourth Proportional to 21,646.83, 32,470.49 and 7,607.27

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Solution

The fourth proportional to 21,646.83, 32,470.49 and 7,607.27 is: 11,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.83 : 32,470.49 = 7,607.27 : x
  2. Step 2: Convert to fraction form
    21,646.83/32,470.49 = 7,607.27/x
  3. Step 3: Cross multiply
    21,646.83x = 32,470.49 × 7,607.27
  4. Step 4: Simplify right side
    21,646.83x = 247,011,584.07
  5. Step 5: Solve for x
    x = 247,011,584.07/21,646.83
  6. Step 6: Final answer
    x = 11,410.98

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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.