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Finding the Fourth Proportional to 12,698.62, 19,049.74 and 4,376.40

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Solution

The fourth proportional to 12,698.62, 19,049.74 and 4,376.40 is: 6,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.62 : 19,049.74 = 4,376.40 : x
  2. Step 2: Convert to fraction form
    12,698.62/19,049.74 = 4,376.40/x
  3. Step 3: Cross multiply
    12,698.62x = 19,049.74 × 4,376.40
  4. Step 4: Simplify right side
    12,698.62x = 83,369,282.14
  5. Step 5: Solve for x
    x = 83,369,282.14/12,698.62
  6. Step 6: Final answer
    x = 6,565.22

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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.