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Finding the Fourth Proportional to 14,314.51, 19,769.03 and 9,849.79

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Solution

The fourth proportional to 14,314.51, 19,769.03 and 9,849.79 is: 13,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.51 : 19,769.03 = 9,849.79 : x
  2. Step 2: Convert to fraction form
    14,314.51/19,769.03 = 9,849.79/x
  3. Step 3: Cross multiply
    14,314.51x = 19,769.03 × 9,849.79
  4. Step 4: Simplify right side
    14,314.51x = 194,720,794.00
  5. Step 5: Solve for x
    x = 194,720,794.00/14,314.51
  6. Step 6: Final answer
    x = 13,603.04

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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.