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Finding the Fourth Proportional to 16,311.78, 22,506.40 and 9,597.70

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Solution

The fourth proportional to 16,311.78, 22,506.40 and 9,597.70 is: 13,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.78 : 22,506.40 = 9,597.70 : x
  2. Step 2: Convert to fraction form
    16,311.78/22,506.40 = 9,597.70/x
  3. Step 3: Cross multiply
    16,311.78x = 22,506.40 × 9,597.70
  4. Step 4: Simplify right side
    16,311.78x = 216,009,675.28
  5. Step 5: Solve for x
    x = 216,009,675.28/16,311.78
  6. Step 6: Final answer
    x = 13,242.56

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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.