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Finding the Fourth Proportional to 23,594.61, 35,416.50 and 10,456.21

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Solution

The fourth proportional to 23,594.61, 35,416.50 and 10,456.21 is: 15,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.61 : 35,416.50 = 10,456.21 : x
  2. Step 2: Convert to fraction form
    23,594.61/35,416.50 = 10,456.21/x
  3. Step 3: Cross multiply
    23,594.61x = 35,416.50 × 10,456.21
  4. Step 4: Simplify right side
    23,594.61x = 370,322,361.47
  5. Step 5: Solve for x
    x = 370,322,361.47/23,594.61
  6. Step 6: Final answer
    x = 15,695.21

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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.