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Finding the Fourth Proportional to 13,498.05, 18,619.29 and 10,509.15

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Solution

The fourth proportional to 13,498.05, 18,619.29 and 10,509.15 is: 14,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.05 : 18,619.29 = 10,509.15 : x
  2. Step 2: Convert to fraction form
    13,498.05/18,619.29 = 10,509.15/x
  3. Step 3: Cross multiply
    13,498.05x = 18,619.29 × 10,509.15
  4. Step 4: Simplify right side
    13,498.05x = 195,672,911.50
  5. Step 5: Solve for x
    x = 195,672,911.50/13,498.05
  6. Step 6: Final answer
    x = 14,496.38

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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.