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Finding the Fourth Proportional to 16,741.31, 23,102.98 and 9,187.74

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Solution

The fourth proportional to 16,741.31, 23,102.98 and 9,187.74 is: 12,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,741.31 : 23,102.98 = 9,187.74 : x
  2. Step 2: Convert to fraction form
    16,741.31/23,102.98 = 9,187.74/x
  3. Step 3: Cross multiply
    16,741.31x = 23,102.98 × 9,187.74
  4. Step 4: Simplify right side
    16,741.31x = 212,264,043.25
  5. Step 5: Solve for x
    x = 212,264,043.25/16,741.31
  6. Step 6: Final answer
    x = 12,679.06

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1.5x scale

Why These Related Problems?

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