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Finding the Fourth Proportional to 13,820.69, 19,080.45 and 9,113.18

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Solution

The fourth proportional to 13,820.69, 19,080.45 and 9,113.18 is: 12,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.69 : 19,080.45 = 9,113.18 : x
  2. Step 2: Convert to fraction form
    13,820.69/19,080.45 = 9,113.18/x
  3. Step 3: Cross multiply
    13,820.69x = 19,080.45 × 9,113.18
  4. Step 4: Simplify right side
    13,820.69x = 173,883,479.93
  5. Step 5: Solve for x
    x = 173,883,479.93/13,820.69
  6. Step 6: Final answer
    x = 12,581.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.