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Finding the Fourth Proportional to 15,715.83, 21,688.17 and 8,642.91

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Solution

The fourth proportional to 15,715.83, 21,688.17 and 8,642.91 is: 11,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.83 : 21,688.17 = 8,642.91 : x
  2. Step 2: Convert to fraction form
    15,715.83/21,688.17 = 8,642.91/x
  3. Step 3: Cross multiply
    15,715.83x = 21,688.17 × 8,642.91
  4. Step 4: Simplify right side
    15,715.83x = 187,448,901.37
  5. Step 5: Solve for x
    x = 187,448,901.37/15,715.83
  6. Step 6: Final answer
    x = 11,927.39

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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.