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Finding the Fourth Proportional to 14,350.51, 19,810.44 and 9,578.38

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Solution

The fourth proportional to 14,350.51, 19,810.44 and 9,578.38 is: 13,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,350.51 : 19,810.44 = 9,578.38 : x
  2. Step 2: Convert to fraction form
    14,350.51/19,810.44 = 9,578.38/x
  3. Step 3: Cross multiply
    14,350.51x = 19,810.44 × 9,578.38
  4. Step 4: Simplify right side
    14,350.51x = 189,751,922.29
  5. Step 5: Solve for x
    x = 189,751,922.29/14,350.51
  6. Step 6: Final answer
    x = 13,222.66

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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.