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Finding the Fourth Proportional to 16,561.54, 22,858.17 and 9,492.70

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Solution

The fourth proportional to 16,561.54, 22,858.17 and 9,492.70 is: 13,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.54 : 22,858.17 = 9,492.70 : x
  2. Step 2: Convert to fraction form
    16,561.54/22,858.17 = 9,492.70/x
  3. Step 3: Cross multiply
    16,561.54x = 22,858.17 × 9,492.70
  4. Step 4: Simplify right side
    16,561.54x = 216,985,750.36
  5. Step 5: Solve for x
    x = 216,985,750.36/16,561.54
  6. Step 6: Final answer
    x = 13,101.79

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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.