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Finding the Fourth Proportional to 14,098.19, 19,455.53 and 7,810.56

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Solution

The fourth proportional to 14,098.19, 19,455.53 and 7,810.56 is: 10,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.19 : 19,455.53 = 7,810.56 : x
  2. Step 2: Convert to fraction form
    14,098.19/19,455.53 = 7,810.56/x
  3. Step 3: Cross multiply
    14,098.19x = 19,455.53 × 7,810.56
  4. Step 4: Simplify right side
    14,098.19x = 151,958,545.34
  5. Step 5: Solve for x
    x = 151,958,545.34/14,098.19
  6. Step 6: Final answer
    x = 10,778.59

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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.