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Finding the Fourth Proportional to 19,873.52, 29,783.14 and 10,019.46

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Solution

The fourth proportional to 19,873.52, 29,783.14 and 10,019.46 is: 15,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.52 : 29,783.14 = 10,019.46 : x
  2. Step 2: Convert to fraction form
    19,873.52/29,783.14 = 10,019.46/x
  3. Step 3: Cross multiply
    19,873.52x = 29,783.14 × 10,019.46
  4. Step 4: Simplify right side
    19,873.52x = 298,411,122.90
  5. Step 5: Solve for x
    x = 298,411,122.90/19,873.52
  6. Step 6: Final answer
    x = 15,015.52

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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.