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Finding the Fourth Proportional to 14,111.15, 19,474.90 and 9,006.82

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Solution

The fourth proportional to 14,111.15, 19,474.90 and 9,006.82 is: 12,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.15 : 19,474.90 = 9,006.82 : x
  2. Step 2: Convert to fraction form
    14,111.15/19,474.90 = 9,006.82/x
  3. Step 3: Cross multiply
    14,111.15x = 19,474.90 × 9,006.82
  4. Step 4: Simplify right side
    14,111.15x = 175,406,918.82
  5. Step 5: Solve for x
    x = 175,406,918.82/14,111.15
  6. Step 6: Final answer
    x = 12,430.38

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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.