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Finding the Fourth Proportional to 14,971.47, 22,462.50 and 6,650.73

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Solution

The fourth proportional to 14,971.47, 22,462.50 and 6,650.73 is: 9,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.47 : 22,462.50 = 6,650.73 : x
  2. Step 2: Convert to fraction form
    14,971.47/22,462.50 = 6,650.73/x
  3. Step 3: Cross multiply
    14,971.47x = 22,462.50 × 6,650.73
  4. Step 4: Simplify right side
    14,971.47x = 149,392,022.63
  5. Step 5: Solve for x
    x = 149,392,022.63/14,971.47
  6. Step 6: Final answer
    x = 9,978.45

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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.