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Finding the Fourth Proportional to 19,468.50, 26,866.54 and 10,636.50

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Solution

The fourth proportional to 19,468.50, 26,866.54 and 10,636.50 is: 14,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468.50 : 26,866.54 = 10,636.50 : x
  2. Step 2: Convert to fraction form
    19,468.50/26,866.54 = 10,636.50/x
  3. Step 3: Cross multiply
    19,468.50x = 26,866.54 × 10,636.50
  4. Step 4: Simplify right side
    19,468.50x = 285,765,952.71
  5. Step 5: Solve for x
    x = 285,765,952.71/19,468.50
  6. Step 6: Final answer
    x = 14,678.38

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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.