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Finding the Fourth Proportional to 13,797.61, 19,037.82 and 9,024.55

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Solution

The fourth proportional to 13,797.61, 19,037.82 and 9,024.55 is: 12,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.61 : 19,037.82 = 9,024.55 : x
  2. Step 2: Convert to fraction form
    13,797.61/19,037.82 = 9,024.55/x
  3. Step 3: Cross multiply
    13,797.61x = 19,037.82 × 9,024.55
  4. Step 4: Simplify right side
    13,797.61x = 171,807,758.48
  5. Step 5: Solve for x
    x = 171,807,758.48/13,797.61
  6. Step 6: Final answer
    x = 12,451.99

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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.