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Finding the Fourth Proportional to 23,598, 35,402.48 and 8,015.64

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Solution

The fourth proportional to 23,598, 35,402.48 and 8,015.64 is: 12,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598 : 35,402.48 = 8,015.64 : x
  2. Step 2: Convert to fraction form
    23,598/35,402.48 = 8,015.64/x
  3. Step 3: Cross multiply
    23,598x = 35,402.48 × 8,015.64
  4. Step 4: Simplify right side
    23,598x = 283,773,494.71
  5. Step 5: Solve for x
    x = 283,773,494.71/23,598
  6. Step 6: Final answer
    x = 12,025.32

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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.