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Finding the Fourth Proportional to 21,349.60, 32,029.40 and 7,309.78

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Solution

The fourth proportional to 21,349.60, 32,029.40 and 7,309.78 is: 10,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349.60 : 32,029.40 = 7,309.78 : x
  2. Step 2: Convert to fraction form
    21,349.60/32,029.40 = 7,309.78/x
  3. Step 3: Cross multiply
    21,349.60x = 32,029.40 × 7,309.78
  4. Step 4: Simplify right side
    21,349.60x = 234,127,867.53
  5. Step 5: Solve for x
    x = 234,127,867.53/21,349.60
  6. Step 6: Final answer
    x = 10,966.38

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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.