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Finding the Fourth Proportional to 12,965.42, 19,455.68 and 5,468.50

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Solution

The fourth proportional to 12,965.42, 19,455.68 and 5,468.50 is: 8,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.42 : 19,455.68 = 5,468.50 : x
  2. Step 2: Convert to fraction form
    12,965.42/19,455.68 = 5,468.50/x
  3. Step 3: Cross multiply
    12,965.42x = 19,455.68 × 5,468.50
  4. Step 4: Simplify right side
    12,965.42x = 106,393,386.08
  5. Step 5: Solve for x
    x = 106,393,386.08/12,965.42
  6. Step 6: Final answer
    x = 8,205.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.