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Finding the Fourth Proportional to 23,063.52, 31,794.48 and 16,428

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Solution

The fourth proportional to 23,063.52, 31,794.48 and 16,428 is: 22,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,063.52 : 31,794.48 = 16,428 : x
  2. Step 2: Convert to fraction form
    23,063.52/31,794.48 = 16,428/x
  3. Step 3: Cross multiply
    23,063.52x = 31,794.48 × 16,428
  4. Step 4: Simplify right side
    23,063.52x = 522,319,717.44
  5. Step 5: Solve for x
    x = 522,319,717.44/23,063.52
  6. Step 6: Final answer
    x = 22,647.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.