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Finding the Fourth Proportional to 14,540.78, 21,782.62 and 9,595.33

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Solution

The fourth proportional to 14,540.78, 21,782.62 and 9,595.33 is: 14,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.78 : 21,782.62 = 9,595.33 : x
  2. Step 2: Convert to fraction form
    14,540.78/21,782.62 = 9,595.33/x
  3. Step 3: Cross multiply
    14,540.78x = 21,782.62 × 9,595.33
  4. Step 4: Simplify right side
    14,540.78x = 209,011,384.70
  5. Step 5: Solve for x
    x = 209,011,384.70/14,540.78
  6. Step 6: Final answer
    x = 14,374.15

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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.