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Finding the Fourth Proportional to 21,497.36, 32,229.08 and 13,583.19

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Solution

The fourth proportional to 21,497.36, 32,229.08 and 13,583.19 is: 20,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.36 : 32,229.08 = 13,583.19 : x
  2. Step 2: Convert to fraction form
    21,497.36/32,229.08 = 13,583.19/x
  3. Step 3: Cross multiply
    21,497.36x = 32,229.08 × 13,583.19
  4. Step 4: Simplify right side
    21,497.36x = 437,773,717.17
  5. Step 5: Solve for x
    x = 437,773,717.17/21,497.36
  6. Step 6: Final answer
    x = 20,364.07

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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.