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Finding the Fourth Proportional to 24,730.50, 34,128.06 and 13,400.29

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Solution

The fourth proportional to 24,730.50, 34,128.06 and 13,400.29 is: 18,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.50 : 34,128.06 = 13,400.29 : x
  2. Step 2: Convert to fraction form
    24,730.50/34,128.06 = 13,400.29/x
  3. Step 3: Cross multiply
    24,730.50x = 34,128.06 × 13,400.29
  4. Step 4: Simplify right side
    24,730.50x = 457,325,901.14
  5. Step 5: Solve for x
    x = 457,325,901.14/24,730.50
  6. Step 6: Final answer
    x = 18,492.38

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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.