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Finding the Fourth Proportional to 21,802.17, 32,670.42 and 16,228.95

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Solution

The fourth proportional to 21,802.17, 32,670.42 and 16,228.95 is: 24,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.17 : 32,670.42 = 16,228.95 : x
  2. Step 2: Convert to fraction form
    21,802.17/32,670.42 = 16,228.95/x
  3. Step 3: Cross multiply
    21,802.17x = 32,670.42 × 16,228.95
  4. Step 4: Simplify right side
    21,802.17x = 530,206,612.66
  5. Step 5: Solve for x
    x = 530,206,612.66/21,802.17
  6. Step 6: Final answer
    x = 24,318.98

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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.