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Finding the Fourth Proportional to 16,838.52, 25,256.10 and 5,151.84

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Solution

The fourth proportional to 16,838.52, 25,256.10 and 5,151.84 is: 7,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.52 : 25,256.10 = 5,151.84 : x
  2. Step 2: Convert to fraction form
    16,838.52/25,256.10 = 5,151.84/x
  3. Step 3: Cross multiply
    16,838.52x = 25,256.10 × 5,151.84
  4. Step 4: Simplify right side
    16,838.52x = 130,115,386.22
  5. Step 5: Solve for x
    x = 130,115,386.22/16,838.52
  6. Step 6: Final answer
    x = 7,727.25

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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.