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Finding the Fourth Proportional to 16,731, 23,088.60 and 9,177.53

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Solution

The fourth proportional to 16,731, 23,088.60 and 9,177.53 is: 12,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,731 : 23,088.60 = 9,177.53 : x
  2. Step 2: Convert to fraction form
    16,731/23,088.60 = 9,177.53/x
  3. Step 3: Cross multiply
    16,731x = 23,088.60 × 9,177.53
  4. Step 4: Simplify right side
    16,731x = 211,896,203.72
  5. Step 5: Solve for x
    x = 211,896,203.72/16,731
  6. Step 6: Final answer
    x = 12,664.89

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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.