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Finding the Fourth Proportional to 13,187.71, 19,770.58 and 6,164.00

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Solution

The fourth proportional to 13,187.71, 19,770.58 and 6,164.00 is: 9,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.71 : 19,770.58 = 6,164.00 : x
  2. Step 2: Convert to fraction form
    13,187.71/19,770.58 = 6,164.00/x
  3. Step 3: Cross multiply
    13,187.71x = 19,770.58 × 6,164.00
  4. Step 4: Simplify right side
    13,187.71x = 121,865,838.11
  5. Step 5: Solve for x
    x = 121,865,838.11/13,187.71
  6. Step 6: Final answer
    x = 9,240.86

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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.