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Finding the Fourth Proportional to 14,098.44, 19,456.38 and 7,810.76

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Solution

The fourth proportional to 14,098.44, 19,456.38 and 7,810.76 is: 10,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.44 : 19,456.38 = 7,810.76 : x
  2. Step 2: Convert to fraction form
    14,098.44/19,456.38 = 7,810.76/x
  3. Step 3: Cross multiply
    14,098.44x = 19,456.38 × 7,810.76
  4. Step 4: Simplify right side
    14,098.44x = 151,969,114.65
  5. Step 5: Solve for x
    x = 151,969,114.65/14,098.44
  6. Step 6: Final answer
    x = 10,779.14

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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.