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Finding the Fourth Proportional to 14,706.40, 20,271.24 and 11,514.32

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Solution

The fourth proportional to 14,706.40, 20,271.24 and 11,514.32 is: 15,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.40 : 20,271.24 = 11,514.32 : x
  2. Step 2: Convert to fraction form
    14,706.40/20,271.24 = 11,514.32/x
  3. Step 3: Cross multiply
    14,706.40x = 20,271.24 × 11,514.32
  4. Step 4: Simplify right side
    14,706.40x = 233,409,544.16
  5. Step 5: Solve for x
    x = 233,409,544.16/14,706.40
  6. Step 6: Final answer
    x = 15,871.29

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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.