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Finding the Fourth Proportional to 13,588.34, 20,386.62 and 6,186.69

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Solution

The fourth proportional to 13,588.34, 20,386.62 and 6,186.69 is: 9,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.34 : 20,386.62 = 6,186.69 : x
  2. Step 2: Convert to fraction form
    13,588.34/20,386.62 = 6,186.69/x
  3. Step 3: Cross multiply
    13,588.34x = 20,386.62 × 6,186.69
  4. Step 4: Simplify right side
    13,588.34x = 126,125,698.09
  5. Step 5: Solve for x
    x = 126,125,698.09/13,588.34
  6. Step 6: Final answer
    x = 9,281.91

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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.