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Finding the Fourth Proportional to 19,838.56, 29,704.51 and 10,459.08

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Solution

The fourth proportional to 19,838.56, 29,704.51 and 10,459.08 is: 15,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.56 : 29,704.51 = 10,459.08 : x
  2. Step 2: Convert to fraction form
    19,838.56/29,704.51 = 10,459.08/x
  3. Step 3: Cross multiply
    19,838.56x = 29,704.51 × 10,459.08
  4. Step 4: Simplify right side
    19,838.56x = 310,681,846.45
  5. Step 5: Solve for x
    x = 310,681,846.45/19,838.56
  6. Step 6: Final answer
    x = 15,660.50

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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.