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Finding the Fourth Proportional to 16,709.22, 23,058.71 and 9,156.02

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Solution

The fourth proportional to 16,709.22, 23,058.71 and 9,156.02 is: 12,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.22 : 23,058.71 = 9,156.02 : x
  2. Step 2: Convert to fraction form
    16,709.22/23,058.71 = 9,156.02/x
  3. Step 3: Cross multiply
    16,709.22x = 23,058.71 × 9,156.02
  4. Step 4: Simplify right side
    16,709.22x = 211,125,969.67
  5. Step 5: Solve for x
    x = 211,125,969.67/16,709.22
  6. Step 6: Final answer
    x = 12,635.30

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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.