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Finding the Fourth Proportional to 16,561.02, 22,856.86 and 9,756.14

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Solution

The fourth proportional to 16,561.02, 22,856.86 and 9,756.14 is: 13,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.02 : 22,856.86 = 9,756.14 : x
  2. Step 2: Convert to fraction form
    16,561.02/22,856.86 = 9,756.14/x
  3. Step 3: Cross multiply
    16,561.02x = 22,856.86 × 9,756.14
  4. Step 4: Simplify right side
    16,561.02x = 222,994,611.84
  5. Step 5: Solve for x
    x = 222,994,611.84/16,561.02
  6. Step 6: Final answer
    x = 13,465.03

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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.