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Finding the Fourth Proportional to 20,901.51, 31,353.89 and 5,319

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Solution

The fourth proportional to 20,901.51, 31,353.89 and 5,319 is: 7,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.51 : 31,353.89 = 5,319 : x
  2. Step 2: Convert to fraction form
    20,901.51/31,353.89 = 5,319/x
  3. Step 3: Cross multiply
    20,901.51x = 31,353.89 × 5,319
  4. Step 4: Simplify right side
    20,901.51x = 166,771,314.32
  5. Step 5: Solve for x
    x = 166,771,314.32/20,901.51
  6. Step 6: Final answer
    x = 7,978.91

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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.