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Finding the Fourth Proportional to 23,970.26, 35,971.59 and 8,388.02

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Solution

The fourth proportional to 23,970.26, 35,971.59 and 8,388.02 is: 12,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.26 : 35,971.59 = 8,388.02 : x
  2. Step 2: Convert to fraction form
    23,970.26/35,971.59 = 8,388.02/x
  3. Step 3: Cross multiply
    23,970.26x = 35,971.59 × 8,388.02
  4. Step 4: Simplify right side
    23,970.26x = 301,730,416.35
  5. Step 5: Solve for x
    x = 301,730,416.35/23,970.26
  6. Step 6: Final answer
    x = 12,587.70

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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.