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Finding the Fourth Proportional to 16,123.90, 22,255.62 and 9,750.50

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Solution

The fourth proportional to 16,123.90, 22,255.62 and 9,750.50 is: 13,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.90 : 22,255.62 = 9,750.50 : x
  2. Step 2: Convert to fraction form
    16,123.90/22,255.62 = 9,750.50/x
  3. Step 3: Cross multiply
    16,123.90x = 22,255.62 × 9,750.50
  4. Step 4: Simplify right side
    16,123.90x = 217,003,422.81
  5. Step 5: Solve for x
    x = 217,003,422.81/16,123.90
  6. Step 6: Final answer
    x = 13,458.49

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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.