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Finding the Fourth Proportional to 16,838.84, 25,256.28 and 5,152.16

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Solution

The fourth proportional to 16,838.84, 25,256.28 and 5,152.16 is: 7,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.84 : 25,256.28 = 5,152.16 : x
  2. Step 2: Convert to fraction form
    16,838.84/25,256.28 = 5,152.16/x
  3. Step 3: Cross multiply
    16,838.84x = 25,256.28 × 5,152.16
  4. Step 4: Simplify right side
    16,838.84x = 130,124,395.56
  5. Step 5: Solve for x
    x = 130,124,395.56/16,838.84
  6. Step 6: Final answer
    x = 7,727.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.