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Finding the Fourth Proportional to 21,205.65, 31,808.48 and 16,284.90

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Solution

The fourth proportional to 21,205.65, 31,808.48 and 16,284.90 is: 24,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.65 : 31,808.48 = 16,284.90 : x
  2. Step 2: Convert to fraction form
    21,205.65/31,808.48 = 16,284.90/x
  3. Step 3: Cross multiply
    21,205.65x = 31,808.48 × 16,284.90
  4. Step 4: Simplify right side
    21,205.65x = 517,997,834.53
  5. Step 5: Solve for x
    x = 517,997,834.53/21,205.65
  6. Step 6: Final answer
    x = 24,427.35

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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.