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Finding the Fourth Proportional to 12,698.70, 19,011.60 and 7,777.95

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Solution

The fourth proportional to 12,698.70, 19,011.60 and 7,777.95 is: 11,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.70 : 19,011.60 = 7,777.95 : x
  2. Step 2: Convert to fraction form
    12,698.70/19,011.60 = 7,777.95/x
  3. Step 3: Cross multiply
    12,698.70x = 19,011.60 × 7,777.95
  4. Step 4: Simplify right side
    12,698.70x = 147,871,274.22
  5. Step 5: Solve for x
    x = 147,871,274.22/12,698.70
  6. Step 6: Final answer
    x = 11,644.60

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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.