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Finding the Fourth Proportional to 20,585.86, 28,408.50 and 11,154.46

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Solution

The fourth proportional to 20,585.86, 28,408.50 and 11,154.46 is: 15,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.86 : 28,408.50 = 11,154.46 : x
  2. Step 2: Convert to fraction form
    20,585.86/28,408.50 = 11,154.46/x
  3. Step 3: Cross multiply
    20,585.86x = 28,408.50 × 11,154.46
  4. Step 4: Simplify right side
    20,585.86x = 316,881,476.91
  5. Step 5: Solve for x
    x = 316,881,476.91/20,585.86
  6. Step 6: Final answer
    x = 15,393.16

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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.