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Finding the Fourth Proportional to 16,811.70, 23,203.17 and 9,742.02

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Solution

The fourth proportional to 16,811.70, 23,203.17 and 9,742.02 is: 13,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.70 : 23,203.17 = 9,742.02 : x
  2. Step 2: Convert to fraction form
    16,811.70/23,203.17 = 9,742.02/x
  3. Step 3: Cross multiply
    16,811.70x = 23,203.17 × 9,742.02
  4. Step 4: Simplify right side
    16,811.70x = 226,045,746.20
  5. Step 5: Solve for x
    x = 226,045,746.20/16,811.70
  6. Step 6: Final answer
    x = 13,445.74

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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.