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Finding the Fourth Proportional to 20,838.13, 28,756.64 and 11,406.71

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Solution

The fourth proportional to 20,838.13, 28,756.64 and 11,406.71 is: 15,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.13 : 28,756.64 = 11,406.71 : x
  2. Step 2: Convert to fraction form
    20,838.13/28,756.64 = 11,406.71/x
  3. Step 3: Cross multiply
    20,838.13x = 28,756.64 × 11,406.71
  4. Step 4: Simplify right side
    20,838.13x = 328,018,653.05
  5. Step 5: Solve for x
    x = 328,018,653.05/20,838.13
  6. Step 6: Final answer
    x = 15,741.27

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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.