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Finding the Fourth Proportional to 21,806.60, 32,681.10 and 16,216.16

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Solution

The fourth proportional to 21,806.60, 32,681.10 and 16,216.16 is: 24,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.60 : 32,681.10 = 16,216.16 : x
  2. Step 2: Convert to fraction form
    21,806.60/32,681.10 = 16,216.16/x
  3. Step 3: Cross multiply
    21,806.60x = 32,681.10 × 16,216.16
  4. Step 4: Simplify right side
    21,806.60x = 529,961,946.58
  5. Step 5: Solve for x
    x = 529,961,946.58/21,806.60
  6. Step 6: Final answer
    x = 24,302.82

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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.