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Finding the Fourth Proportional to 16,144.08, 22,278 and 10,838.16

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Solution

The fourth proportional to 16,144.08, 22,278 and 10,838.16 is: 14,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.08 : 22,278 = 10,838.16 : x
  2. Step 2: Convert to fraction form
    16,144.08/22,278 = 10,838.16/x
  3. Step 3: Cross multiply
    16,144.08x = 22,278 × 10,838.16
  4. Step 4: Simplify right side
    16,144.08x = 241,452,528.48
  5. Step 5: Solve for x
    x = 241,452,528.48/16,144.08
  6. Step 6: Final answer
    x = 14,956.10

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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.