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Finding the Fourth Proportional to 20,784, 28,681.92 and 11,352.60

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Solution

The fourth proportional to 20,784, 28,681.92 and 11,352.60 is: 15,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 28,681.92 = 11,352.60 : x
  2. Step 2: Convert to fraction form
    20,784/28,681.92 = 11,352.60/x
  3. Step 3: Cross multiply
    20,784x = 28,681.92 × 11,352.60
  4. Step 4: Simplify right side
    20,784x = 325,614,364.99
  5. Step 5: Solve for x
    x = 325,614,364.99/20,784
  6. Step 6: Final answer
    x = 15,666.59

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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.