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Finding the Fourth Proportional to 16,953.32, 25,437 and 9,152.96

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Solution

The fourth proportional to 16,953.32, 25,437 and 9,152.96 is: 13,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,953.32 : 25,437 = 9,152.96 : x
  2. Step 2: Convert to fraction form
    16,953.32/25,437 = 9,152.96/x
  3. Step 3: Cross multiply
    16,953.32x = 25,437 × 9,152.96
  4. Step 4: Simplify right side
    16,953.32x = 232,823,843.52
  5. Step 5: Solve for x
    x = 232,823,843.52/16,953.32
  6. Step 6: Final answer
    x = 13,733.23

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Why These Related Problems?

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