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Finding the Fourth Proportional to 12,698.30, 19,015.05 and 10,106.30

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Solution

The fourth proportional to 12,698.30, 19,015.05 and 10,106.30 is: 15,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.30 : 19,015.05 = 10,106.30 : x
  2. Step 2: Convert to fraction form
    12,698.30/19,015.05 = 10,106.30/x
  3. Step 3: Cross multiply
    12,698.30x = 19,015.05 × 10,106.30
  4. Step 4: Simplify right side
    12,698.30x = 192,171,799.82
  5. Step 5: Solve for x
    x = 192,171,799.82/12,698.30
  6. Step 6: Final answer
    x = 15,133.66

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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.