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Finding the Fourth Proportional to 16,886, 25,332.24 and 7,652

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Solution

The fourth proportional to 16,886, 25,332.24 and 7,652 is: 11,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,886 : 25,332.24 = 7,652 : x
  2. Step 2: Convert to fraction form
    16,886/25,332.24 = 7,652/x
  3. Step 3: Cross multiply
    16,886x = 25,332.24 × 7,652
  4. Step 4: Simplify right side
    16,886x = 193,842,300.48
  5. Step 5: Solve for x
    x = 193,842,300.48/16,886
  6. Step 6: Final answer
    x = 11,479.47

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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.