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Finding the Fourth Proportional to 14,726.72, 22,089.36 and 5,492

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Solution

The fourth proportional to 14,726.72, 22,089.36 and 5,492 is: 8,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,726.72 : 22,089.36 = 5,492 : x
  2. Step 2: Convert to fraction form
    14,726.72/22,089.36 = 5,492/x
  3. Step 3: Cross multiply
    14,726.72x = 22,089.36 × 5,492
  4. Step 4: Simplify right side
    14,726.72x = 121,314,765.12
  5. Step 5: Solve for x
    x = 121,314,765.12/14,726.72
  6. Step 6: Final answer
    x = 8,237.73

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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.