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Finding the Fourth Proportional to 15,762.39, 21,753.62 and 11,776.58

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Solution

The fourth proportional to 15,762.39, 21,753.62 and 11,776.58 is: 16,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.39 : 21,753.62 = 11,776.58 : x
  2. Step 2: Convert to fraction form
    15,762.39/21,753.62 = 11,776.58/x
  3. Step 3: Cross multiply
    15,762.39x = 21,753.62 × 11,776.58
  4. Step 4: Simplify right side
    15,762.39x = 256,183,204.31
  5. Step 5: Solve for x
    x = 256,183,204.31/15,762.39
  6. Step 6: Final answer
    x = 16,252.82

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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.