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Finding the Fourth Proportional to 14,506.56, 20,029.28 and 11,323.40

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Solution

The fourth proportional to 14,506.56, 20,029.28 and 11,323.40 is: 15,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.56 : 20,029.28 = 11,323.40 : x
  2. Step 2: Convert to fraction form
    14,506.56/20,029.28 = 11,323.40/x
  3. Step 3: Cross multiply
    14,506.56x = 20,029.28 × 11,323.40
  4. Step 4: Simplify right side
    14,506.56x = 226,799,392.39
  5. Step 5: Solve for x
    x = 226,799,392.39/14,506.56
  6. Step 6: Final answer
    x = 15,634.26

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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.