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Finding the Fourth Proportional to 15,583, 21,495.88 and 10,197.96

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Solution

The fourth proportional to 15,583, 21,495.88 and 10,197.96 is: 14,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583 : 21,495.88 = 10,197.96 : x
  2. Step 2: Convert to fraction form
    15,583/21,495.88 = 10,197.96/x
  3. Step 3: Cross multiply
    15,583x = 21,495.88 × 10,197.96
  4. Step 4: Simplify right side
    15,583x = 219,214,124.40
  5. Step 5: Solve for x
    x = 219,214,124.40/15,583
  6. Step 6: Final answer
    x = 14,067.52

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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.