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Finding the Fourth Proportional to 13,897.32, 20,843.48 and 6,875.08

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Solution

The fourth proportional to 13,897.32, 20,843.48 and 6,875.08 is: 10,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.32 : 20,843.48 = 6,875.08 : x
  2. Step 2: Convert to fraction form
    13,897.32/20,843.48 = 6,875.08/x
  3. Step 3: Cross multiply
    13,897.32x = 20,843.48 × 6,875.08
  4. Step 4: Simplify right side
    13,897.32x = 143,300,518.89
  5. Step 5: Solve for x
    x = 143,300,518.89/13,897.32
  6. Step 6: Final answer
    x = 10,311.38

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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.