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Finding the Fourth Proportional to 20,833.40, 31,253.74 and 9,154.84

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Solution

The fourth proportional to 20,833.40, 31,253.74 and 9,154.84 is: 13,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.40 : 31,253.74 = 9,154.84 : x
  2. Step 2: Convert to fraction form
    20,833.40/31,253.74 = 9,154.84/x
  3. Step 3: Cross multiply
    20,833.40x = 31,253.74 × 9,154.84
  4. Step 4: Simplify right side
    20,833.40x = 286,122,989.10
  5. Step 5: Solve for x
    x = 286,122,989.10/20,833.40
  6. Step 6: Final answer
    x = 13,733.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.