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Finding the Fourth Proportional to 21,403.78, 32,097.68 and 7,359.83

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Solution

The fourth proportional to 21,403.78, 32,097.68 and 7,359.83 is: 11,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.78 : 32,097.68 = 7,359.83 : x
  2. Step 2: Convert to fraction form
    21,403.78/32,097.68 = 7,359.83/x
  3. Step 3: Cross multiply
    21,403.78x = 32,097.68 × 7,359.83
  4. Step 4: Simplify right side
    21,403.78x = 236,233,468.19
  5. Step 5: Solve for x
    x = 236,233,468.19/21,403.78
  6. Step 6: Final answer
    x = 11,037.00

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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.