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Finding the Fourth Proportional to 12,907.84, 19,357.52 and 4,140.68

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Solution

The fourth proportional to 12,907.84, 19,357.52 and 4,140.68 is: 6,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.84 : 19,357.52 = 4,140.68 : x
  2. Step 2: Convert to fraction form
    12,907.84/19,357.52 = 4,140.68/x
  3. Step 3: Cross multiply
    12,907.84x = 19,357.52 × 4,140.68
  4. Step 4: Simplify right side
    12,907.84x = 80,153,295.91
  5. Step 5: Solve for x
    x = 80,153,295.91/12,907.84
  6. Step 6: Final answer
    x = 6,209.66

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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.