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Finding the Fourth Proportional to 16,254, 22,431.06 and 9,965.16

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Solution

The fourth proportional to 16,254, 22,431.06 and 9,965.16 is: 13,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254 : 22,431.06 = 9,965.16 : x
  2. Step 2: Convert to fraction form
    16,254/22,431.06 = 9,965.16/x
  3. Step 3: Cross multiply
    16,254x = 22,431.06 × 9,965.16
  4. Step 4: Simplify right side
    16,254x = 223,529,101.87
  5. Step 5: Solve for x
    x = 223,529,101.87/16,254
  6. Step 6: Final answer
    x = 13,752.25

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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.