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Finding the Fourth Proportional to 20,886.19, 31,330.53 and 8,406.16

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Solution

The fourth proportional to 20,886.19, 31,330.53 and 8,406.16 is: 12,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.19 : 31,330.53 = 8,406.16 : x
  2. Step 2: Convert to fraction form
    20,886.19/31,330.53 = 8,406.16/x
  3. Step 3: Cross multiply
    20,886.19x = 31,330.53 × 8,406.16
  4. Step 4: Simplify right side
    20,886.19x = 263,369,369.74
  5. Step 5: Solve for x
    x = 263,369,369.74/20,886.19
  6. Step 6: Final answer
    x = 12,609.74

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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.