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Finding the Fourth Proportional to 15,664.02, 21,616.65 and 8,590.02

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Solution

The fourth proportional to 15,664.02, 21,616.65 and 8,590.02 is: 11,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664.02 : 21,616.65 = 8,590.02 : x
  2. Step 2: Convert to fraction form
    15,664.02/21,616.65 = 8,590.02/x
  3. Step 3: Cross multiply
    15,664.02x = 21,616.65 × 8,590.02
  4. Step 4: Simplify right side
    15,664.02x = 185,687,455.83
  5. Step 5: Solve for x
    x = 185,687,455.83/15,664.02
  6. Step 6: Final answer
    x = 11,854.39

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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.