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Finding the Fourth Proportional to 13,830.90, 19,086.66 and 7,543.38

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Solution

The fourth proportional to 13,830.90, 19,086.66 and 7,543.38 is: 10,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.90 : 19,086.66 = 7,543.38 : x
  2. Step 2: Convert to fraction form
    13,830.90/19,086.66 = 7,543.38/x
  3. Step 3: Cross multiply
    13,830.90x = 19,086.66 × 7,543.38
  4. Step 4: Simplify right side
    13,830.90x = 143,977,929.31
  5. Step 5: Solve for x
    x = 143,977,929.31/13,830.90
  6. Step 6: Final answer
    x = 10,409.87

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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.