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Finding the Fourth Proportional to 14,264.44, 19,678.38 and 9,230.30

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Solution

The fourth proportional to 14,264.44, 19,678.38 and 9,230.30 is: 12,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.44 : 19,678.38 = 9,230.30 : x
  2. Step 2: Convert to fraction form
    14,264.44/19,678.38 = 9,230.30/x
  3. Step 3: Cross multiply
    14,264.44x = 19,678.38 × 9,230.30
  4. Step 4: Simplify right side
    14,264.44x = 181,637,350.91
  5. Step 5: Solve for x
    x = 181,637,350.91/14,264.44
  6. Step 6: Final answer
    x = 12,733.58

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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.