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Finding the Fourth Proportional to 14,493.79, 21,724.35 and 10,097.92

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Solution

The fourth proportional to 14,493.79, 21,724.35 and 10,097.92 is: 15,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.79 : 21,724.35 = 10,097.92 : x
  2. Step 2: Convert to fraction form
    14,493.79/21,724.35 = 10,097.92/x
  3. Step 3: Cross multiply
    14,493.79x = 21,724.35 × 10,097.92
  4. Step 4: Simplify right side
    14,493.79x = 219,370,748.35
  5. Step 5: Solve for x
    x = 219,370,748.35/14,493.79
  6. Step 6: Final answer
    x = 15,135.50

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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.