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Finding the Fourth Proportional to 14,782, 22,173 and 14,410.24

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Solution

The fourth proportional to 14,782, 22,173 and 14,410.24 is: 21,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782 : 22,173 = 14,410.24 : x
  2. Step 2: Convert to fraction form
    14,782/22,173 = 14,410.24/x
  3. Step 3: Cross multiply
    14,782x = 22,173 × 14,410.24
  4. Step 4: Simplify right side
    14,782x = 319,518,251.52
  5. Step 5: Solve for x
    x = 319,518,251.52/14,782
  6. Step 6: Final answer
    x = 21,615.36

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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.