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Finding the Fourth Proportional to 13,698.32, 20,553.14 and 4,934.12

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Solution

The fourth proportional to 13,698.32, 20,553.14 and 4,934.12 is: 7,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.32 : 20,553.14 = 4,934.12 : x
  2. Step 2: Convert to fraction form
    13,698.32/20,553.14 = 4,934.12/x
  3. Step 3: Cross multiply
    13,698.32x = 20,553.14 × 4,934.12
  4. Step 4: Simplify right side
    13,698.32x = 101,411,568.71
  5. Step 5: Solve for x
    x = 101,411,568.71/13,698.32
  6. Step 6: Final answer
    x = 7,403.21

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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.