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Finding the Fourth Proportional to 15,908.84, 21,951.74 and 9,533.96

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Solution

The fourth proportional to 15,908.84, 21,951.74 and 9,533.96 is: 13,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,908.84 : 21,951.74 = 9,533.96 : x
  2. Step 2: Convert to fraction form
    15,908.84/21,951.74 = 9,533.96/x
  3. Step 3: Cross multiply
    15,908.84x = 21,951.74 × 9,533.96
  4. Step 4: Simplify right side
    15,908.84x = 209,287,011.09
  5. Step 5: Solve for x
    x = 209,287,011.09/15,908.84
  6. Step 6: Final answer
    x = 13,155.39

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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.