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Finding the Fourth Proportional to 20,916, 28,870.56 and 13,464

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Solution

The fourth proportional to 20,916, 28,870.56 and 13,464 is: 18,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916 : 28,870.56 = 13,464 : x
  2. Step 2: Convert to fraction form
    20,916/28,870.56 = 13,464/x
  3. Step 3: Cross multiply
    20,916x = 28,870.56 × 13,464
  4. Step 4: Simplify right side
    20,916x = 388,713,219.84
  5. Step 5: Solve for x
    x = 388,713,219.84/20,916
  6. Step 6: Final answer
    x = 18,584.49

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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.