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Finding the Fourth Proportional to 13,188.59, 19,783.49 and 7,340.79

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Solution

The fourth proportional to 13,188.59, 19,783.49 and 7,340.79 is: 11,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.59 : 19,783.49 = 7,340.79 : x
  2. Step 2: Convert to fraction form
    13,188.59/19,783.49 = 7,340.79/x
  3. Step 3: Cross multiply
    13,188.59x = 19,783.49 × 7,340.79
  4. Step 4: Simplify right side
    13,188.59x = 145,226,408.85
  5. Step 5: Solve for x
    x = 145,226,408.85/13,188.59
  6. Step 6: Final answer
    x = 11,011.52

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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.