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Finding the Fourth Proportional to 14,878.99, 22,284.47 and 9,669.07

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Solution

The fourth proportional to 14,878.99, 22,284.47 and 9,669.07 is: 14,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.99 : 22,284.47 = 9,669.07 : x
  2. Step 2: Convert to fraction form
    14,878.99/22,284.47 = 9,669.07/x
  3. Step 3: Cross multiply
    14,878.99x = 22,284.47 × 9,669.07
  4. Step 4: Simplify right side
    14,878.99x = 215,470,097.98
  5. Step 5: Solve for x
    x = 215,470,097.98/14,878.99
  6. Step 6: Final answer
    x = 14,481.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.