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Finding the Fourth Proportional to 14,437.72, 21,642 and 5,669.20

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Solution

The fourth proportional to 14,437.72, 21,642 and 5,669.20 is: 8,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.72 : 21,642 = 5,669.20 : x
  2. Step 2: Convert to fraction form
    14,437.72/21,642 = 5,669.20/x
  3. Step 3: Cross multiply
    14,437.72x = 21,642 × 5,669.20
  4. Step 4: Simplify right side
    14,437.72x = 122,692,826.40
  5. Step 5: Solve for x
    x = 122,692,826.40/14,437.72
  6. Step 6: Final answer
    x = 8,498.07

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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.