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Finding the Fourth Proportional to 20,478.90, 28,261.56 and 11,526

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Solution

The fourth proportional to 20,478.90, 28,261.56 and 11,526 is: 15,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.90 : 28,261.56 = 11,526 : x
  2. Step 2: Convert to fraction form
    20,478.90/28,261.56 = 11,526/x
  3. Step 3: Cross multiply
    20,478.90x = 28,261.56 × 11,526
  4. Step 4: Simplify right side
    20,478.90x = 325,742,740.56
  5. Step 5: Solve for x
    x = 325,742,740.56/20,478.90
  6. Step 6: Final answer
    x = 15,906.26

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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.