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Finding the Fourth Proportional to 13,042.14, 19,468.74 and 11,465.74

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Solution

The fourth proportional to 13,042.14, 19,468.74 and 11,465.74 is: 17,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.14 : 19,468.74 = 11,465.74 : x
  2. Step 2: Convert to fraction form
    13,042.14/19,468.74 = 11,465.74/x
  3. Step 3: Cross multiply
    13,042.14x = 19,468.74 × 11,465.74
  4. Step 4: Simplify right side
    13,042.14x = 223,223,510.97
  5. Step 5: Solve for x
    x = 223,223,510.97/13,042.14
  6. Step 6: Final answer
    x = 17,115.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.