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Finding the Fourth Proportional to 12,698.61, 19,050.29 and 5,678.90

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Solution

The fourth proportional to 12,698.61, 19,050.29 and 5,678.90 is: 8,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.61 : 19,050.29 = 5,678.90 : x
  2. Step 2: Convert to fraction form
    12,698.61/19,050.29 = 5,678.90/x
  3. Step 3: Cross multiply
    12,698.61x = 19,050.29 × 5,678.90
  4. Step 4: Simplify right side
    12,698.61x = 108,184,691.88
  5. Step 5: Solve for x
    x = 108,184,691.88/12,698.61
  6. Step 6: Final answer
    x = 8,519.41

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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.