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Finding the Fourth Proportional to 16,381.23, 22,606.46 and 9,307.50

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Solution

The fourth proportional to 16,381.23, 22,606.46 and 9,307.50 is: 12,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.23 : 22,606.46 = 9,307.50 : x
  2. Step 2: Convert to fraction form
    16,381.23/22,606.46 = 9,307.50/x
  3. Step 3: Cross multiply
    16,381.23x = 22,606.46 × 9,307.50
  4. Step 4: Simplify right side
    16,381.23x = 210,409,626.45
  5. Step 5: Solve for x
    x = 210,409,626.45/16,381.23
  6. Step 6: Final answer
    x = 12,844.56

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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.