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Finding the Fourth Proportional to 13,909.16, 20,859.42 and 4,673

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Solution

The fourth proportional to 13,909.16, 20,859.42 and 4,673 is: 7,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.16 : 20,859.42 = 4,673 : x
  2. Step 2: Convert to fraction form
    13,909.16/20,859.42 = 4,673/x
  3. Step 3: Cross multiply
    13,909.16x = 20,859.42 × 4,673
  4. Step 4: Simplify right side
    13,909.16x = 97,476,069.66
  5. Step 5: Solve for x
    x = 97,476,069.66/13,909.16
  6. Step 6: Final answer
    x = 7,008.05

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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.