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Finding the Fourth Proportional to 23,650, 32,636.64 and 13,039.36

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Solution

The fourth proportional to 23,650, 32,636.64 and 13,039.36 is: 17,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,650 : 32,636.64 = 13,039.36 : x
  2. Step 2: Convert to fraction form
    23,650/32,636.64 = 13,039.36/x
  3. Step 3: Cross multiply
    23,650x = 32,636.64 × 13,039.36
  4. Step 4: Simplify right side
    23,650x = 425,560,898.15
  5. Step 5: Solve for x
    x = 425,560,898.15/23,650
  6. Step 6: Final answer
    x = 17,994.12

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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.