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Finding the Fourth Proportional to 14,137.45, 19,510.55 and 7,849.87

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Solution

The fourth proportional to 14,137.45, 19,510.55 and 7,849.87 is: 10,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.45 : 19,510.55 = 7,849.87 : x
  2. Step 2: Convert to fraction form
    14,137.45/19,510.55 = 7,849.87/x
  3. Step 3: Cross multiply
    14,137.45x = 19,510.55 × 7,849.87
  4. Step 4: Simplify right side
    14,137.45x = 153,155,203.20
  5. Step 5: Solve for x
    x = 153,155,203.20/14,137.45
  6. Step 6: Final answer
    x = 10,833.30

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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.