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Finding the Fourth Proportional to 16,709.07, 23,058.51 and 9,257.07

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Solution

The fourth proportional to 16,709.07, 23,058.51 and 9,257.07 is: 12,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.07 : 23,058.51 = 9,257.07 : x
  2. Step 2: Convert to fraction form
    16,709.07/23,058.51 = 9,257.07/x
  3. Step 3: Cross multiply
    16,709.07x = 23,058.51 × 9,257.07
  4. Step 4: Simplify right side
    16,709.07x = 213,454,241.17
  5. Step 5: Solve for x
    x = 213,454,241.17/16,709.07
  6. Step 6: Final answer
    x = 12,774.75

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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.