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Finding the Fourth Proportional to 19,533.75, 26,956.92 and 10,581.63

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Solution

The fourth proportional to 19,533.75, 26,956.92 and 10,581.63 is: 14,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.75 : 26,956.92 = 10,581.63 : x
  2. Step 2: Convert to fraction form
    19,533.75/26,956.92 = 10,581.63/x
  3. Step 3: Cross multiply
    19,533.75x = 26,956.92 × 10,581.63
  4. Step 4: Simplify right side
    19,533.75x = 285,248,153.38
  5. Step 5: Solve for x
    x = 285,248,153.38/19,533.75
  6. Step 6: Final answer
    x = 14,602.84

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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.