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Finding the Fourth Proportional to 14,098.14, 19,456.02 and 7,810.50

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Solution

The fourth proportional to 14,098.14, 19,456.02 and 7,810.50 is: 10,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.14 : 19,456.02 = 7,810.50 : x
  2. Step 2: Convert to fraction form
    14,098.14/19,456.02 = 7,810.50/x
  3. Step 3: Cross multiply
    14,098.14x = 19,456.02 × 7,810.50
  4. Step 4: Simplify right side
    14,098.14x = 151,961,244.21
  5. Step 5: Solve for x
    x = 151,961,244.21/14,098.14
  6. Step 6: Final answer
    x = 10,778.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.