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Finding the Fourth Proportional to 16,584, 22,887.60 and 9,509.76

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Solution

The fourth proportional to 16,584, 22,887.60 and 9,509.76 is: 13,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584 : 22,887.60 = 9,509.76 : x
  2. Step 2: Convert to fraction form
    16,584/22,887.60 = 9,509.76/x
  3. Step 3: Cross multiply
    16,584x = 22,887.60 × 9,509.76
  4. Step 4: Simplify right side
    16,584x = 217,655,582.98
  5. Step 5: Solve for x
    x = 217,655,582.98/16,584
  6. Step 6: Final answer
    x = 13,124.43

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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.