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Finding the Fourth Proportional to 16,212.24, 22,373.34 and 9,840

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Solution

The fourth proportional to 16,212.24, 22,373.34 and 9,840 is: 13,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.24 : 22,373.34 = 9,840 : x
  2. Step 2: Convert to fraction form
    16,212.24/22,373.34 = 9,840/x
  3. Step 3: Cross multiply
    16,212.24x = 22,373.34 × 9,840
  4. Step 4: Simplify right side
    16,212.24x = 220,153,665.60
  5. Step 5: Solve for x
    x = 220,153,665.60/16,212.24
  6. Step 6: Final answer
    x = 13,579.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.