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Finding the Fourth Proportional to 13,056.78, 19,588.17 and 4,291.98

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Solution

The fourth proportional to 13,056.78, 19,588.17 and 4,291.98 is: 6,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056.78 : 19,588.17 = 4,291.98 : x
  2. Step 2: Convert to fraction form
    13,056.78/19,588.17 = 4,291.98/x
  3. Step 3: Cross multiply
    13,056.78x = 19,588.17 × 4,291.98
  4. Step 4: Simplify right side
    13,056.78x = 84,072,033.88
  5. Step 5: Solve for x
    x = 84,072,033.88/13,056.78
  6. Step 6: Final answer
    x = 6,438.96

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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.