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Finding the Fourth Proportional to 12,686.86, 19,029.93 and 5,673.34

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Solution

The fourth proportional to 12,686.86, 19,029.93 and 5,673.34 is: 8,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.86 : 19,029.93 = 5,673.34 : x
  2. Step 2: Convert to fraction form
    12,686.86/19,029.93 = 5,673.34/x
  3. Step 3: Cross multiply
    12,686.86x = 19,029.93 × 5,673.34
  4. Step 4: Simplify right side
    12,686.86x = 107,963,263.07
  5. Step 5: Solve for x
    x = 107,963,263.07/12,686.86
  6. Step 6: Final answer
    x = 8,509.85

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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.