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Finding the Fourth Proportional to 14,417.64, 21,627.72 and 4,029.42

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Solution

The fourth proportional to 14,417.64, 21,627.72 and 4,029.42 is: 6,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.64 : 21,627.72 = 4,029.42 : x
  2. Step 2: Convert to fraction form
    14,417.64/21,627.72 = 4,029.42/x
  3. Step 3: Cross multiply
    14,417.64x = 21,627.72 × 4,029.42
  4. Step 4: Simplify right side
    14,417.64x = 87,147,167.52
  5. Step 5: Solve for x
    x = 87,147,167.52/14,417.64
  6. Step 6: Final answer
    x = 6,044.48

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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.