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Finding the Fourth Proportional to 16,371.40, 22,597.50 and 9,656.50

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Solution

The fourth proportional to 16,371.40, 22,597.50 and 9,656.50 is: 13,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.40 : 22,597.50 = 9,656.50 : x
  2. Step 2: Convert to fraction form
    16,371.40/22,597.50 = 9,656.50/x
  3. Step 3: Cross multiply
    16,371.40x = 22,597.50 × 9,656.50
  4. Step 4: Simplify right side
    16,371.40x = 218,212,758.75
  5. Step 5: Solve for x
    x = 218,212,758.75/16,371.40
  6. Step 6: Final answer
    x = 13,328.90

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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.