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Finding the Fourth Proportional to 16,477.48, 22,738.71 and 9,404.02

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Solution

The fourth proportional to 16,477.48, 22,738.71 and 9,404.02 is: 12,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.48 : 22,738.71 = 9,404.02 : x
  2. Step 2: Convert to fraction form
    16,477.48/22,738.71 = 9,404.02/x
  3. Step 3: Cross multiply
    16,477.48x = 22,738.71 × 9,404.02
  4. Step 4: Simplify right side
    16,477.48x = 213,835,283.61
  5. Step 5: Solve for x
    x = 213,835,283.61/16,477.48
  6. Step 6: Final answer
    x = 12,977.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.