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Finding the Fourth Proportional to 21,490, 32,216.65 and 8,155.53

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Solution

The fourth proportional to 21,490, 32,216.65 and 8,155.53 is: 12,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490 : 32,216.65 = 8,155.53 : x
  2. Step 2: Convert to fraction form
    21,490/32,216.65 = 8,155.53/x
  3. Step 3: Cross multiply
    21,490x = 32,216.65 × 8,155.53
  4. Step 4: Simplify right side
    21,490x = 262,743,855.57
  5. Step 5: Solve for x
    x = 262,743,855.57/21,490
  6. Step 6: Final answer
    x = 12,226.33

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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.