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Finding the Fourth Proportional to 14,782.43, 22,194.15 and 9,257.51

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Solution

The fourth proportional to 14,782.43, 22,194.15 and 9,257.51 is: 13,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.43 : 22,194.15 = 9,257.51 : x
  2. Step 2: Convert to fraction form
    14,782.43/22,194.15 = 9,257.51/x
  3. Step 3: Cross multiply
    14,782.43x = 22,194.15 × 9,257.51
  4. Step 4: Simplify right side
    14,782.43x = 205,462,565.57
  5. Step 5: Solve for x
    x = 205,462,565.57/14,782.43
  6. Step 6: Final answer
    x = 13,899.11

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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.