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Finding the Fourth Proportional to 16,506.18, 22,782.87 and 10,223.82

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Solution

The fourth proportional to 16,506.18, 22,782.87 and 10,223.82 is: 14,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.18 : 22,782.87 = 10,223.82 : x
  2. Step 2: Convert to fraction form
    16,506.18/22,782.87 = 10,223.82/x
  3. Step 3: Cross multiply
    16,506.18x = 22,782.87 × 10,223.82
  4. Step 4: Simplify right side
    16,506.18x = 232,927,961.96
  5. Step 5: Solve for x
    x = 232,927,961.96/16,506.18
  6. Step 6: Final answer
    x = 14,111.56

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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.