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Finding the Fourth Proportional to 14,407, 19,881.74 and 8,119.48

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Solution

The fourth proportional to 14,407, 19,881.74 and 8,119.48 is: 11,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407 : 19,881.74 = 8,119.48 : x
  2. Step 2: Convert to fraction form
    14,407/19,881.74 = 8,119.48/x
  3. Step 3: Cross multiply
    14,407x = 19,881.74 × 8,119.48
  4. Step 4: Simplify right side
    14,407x = 161,429,390.30
  5. Step 5: Solve for x
    x = 161,429,390.30/14,407
  6. Step 6: Final answer
    x = 11,204.93

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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.