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Finding the Fourth Proportional to 19,969.74, 29,932.74 and 10,095.44

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Solution

The fourth proportional to 19,969.74, 29,932.74 and 10,095.44 is: 15,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.74 : 29,932.74 = 10,095.44 : x
  2. Step 2: Convert to fraction form
    19,969.74/29,932.74 = 10,095.44/x
  3. Step 3: Cross multiply
    19,969.74x = 29,932.74 × 10,095.44
  4. Step 4: Simplify right side
    19,969.74x = 302,184,031.04
  5. Step 5: Solve for x
    x = 302,184,031.04/19,969.74
  6. Step 6: Final answer
    x = 15,132.10

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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.