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Finding the Fourth Proportional to 20,991.08, 28,970.84 and 15,947

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Solution

The fourth proportional to 20,991.08, 28,970.84 and 15,947 is: 22,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.08 : 28,970.84 = 15,947 : x
  2. Step 2: Convert to fraction form
    20,991.08/28,970.84 = 15,947/x
  3. Step 3: Cross multiply
    20,991.08x = 28,970.84 × 15,947
  4. Step 4: Simplify right side
    20,991.08x = 461,997,985.48
  5. Step 5: Solve for x
    x = 461,997,985.48/20,991.08
  6. Step 6: Final answer
    x = 22,009.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.