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Finding the Fourth Proportional to 14,122.84, 19,491.06 and 8,156.38

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Solution

The fourth proportional to 14,122.84, 19,491.06 and 8,156.38 is: 11,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.84 : 19,491.06 = 8,156.38 : x
  2. Step 2: Convert to fraction form
    14,122.84/19,491.06 = 8,156.38/x
  3. Step 3: Cross multiply
    14,122.84x = 19,491.06 × 8,156.38
  4. Step 4: Simplify right side
    14,122.84x = 158,976,394.51
  5. Step 5: Solve for x
    x = 158,976,394.51/14,122.84
  6. Step 6: Final answer
    x = 11,256.69

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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.