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Finding the Fourth Proportional to 14,811.42, 22,086.48 and 14,678.07

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Solution

The fourth proportional to 14,811.42, 22,086.48 and 14,678.07 is: 21,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.42 : 22,086.48 = 14,678.07 : x
  2. Step 2: Convert to fraction form
    14,811.42/22,086.48 = 14,678.07/x
  3. Step 3: Cross multiply
    14,811.42x = 22,086.48 × 14,678.07
  4. Step 4: Simplify right side
    14,811.42x = 324,186,899.49
  5. Step 5: Solve for x
    x = 324,186,899.49/14,811.42
  6. Step 6: Final answer
    x = 21,887.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.