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Finding the Fourth Proportional to 19,402.59, 29,109.25 and 7,724.01

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Solution

The fourth proportional to 19,402.59, 29,109.25 and 7,724.01 is: 11,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402.59 : 29,109.25 = 7,724.01 : x
  2. Step 2: Convert to fraction form
    19,402.59/29,109.25 = 7,724.01/x
  3. Step 3: Cross multiply
    19,402.59x = 29,109.25 × 7,724.01
  4. Step 4: Simplify right side
    19,402.59x = 224,840,138.09
  5. Step 5: Solve for x
    x = 224,840,138.09/19,402.59
  6. Step 6: Final answer
    x = 11,588.15

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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.