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Finding the Fourth Proportional to 25,730.69, 38,569.84 and 11,700.68

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Solution

The fourth proportional to 25,730.69, 38,569.84 and 11,700.68 is: 17,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.69 : 38,569.84 = 11,700.68 : x
  2. Step 2: Convert to fraction form
    25,730.69/38,569.84 = 11,700.68/x
  3. Step 3: Cross multiply
    25,730.69x = 38,569.84 × 11,700.68
  4. Step 4: Simplify right side
    25,730.69x = 451,293,355.49
  5. Step 5: Solve for x
    x = 451,293,355.49/25,730.69
  6. Step 6: Final answer
    x = 17,539.11

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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.