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Finding the Fourth Proportional to 19,965.40, 29,943.90 and 10,095.40

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Solution

The fourth proportional to 19,965.40, 29,943.90 and 10,095.40 is: 15,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.40 : 29,943.90 = 10,095.40 : x
  2. Step 2: Convert to fraction form
    19,965.40/29,943.90 = 10,095.40/x
  3. Step 3: Cross multiply
    19,965.40x = 29,943.90 × 10,095.40
  4. Step 4: Simplify right side
    19,965.40x = 302,295,648.06
  5. Step 5: Solve for x
    x = 302,295,648.06/19,965.40
  6. Step 6: Final answer
    x = 15,140.98

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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.