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Finding the Fourth Proportional to 14,113.98, 19,477.26 and 8,145.66

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Solution

The fourth proportional to 14,113.98, 19,477.26 and 8,145.66 is: 11,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.98 : 19,477.26 = 8,145.66 : x
  2. Step 2: Convert to fraction form
    14,113.98/19,477.26 = 8,145.66/x
  3. Step 3: Cross multiply
    14,113.98x = 19,477.26 × 8,145.66
  4. Step 4: Simplify right side
    14,113.98x = 158,655,137.69
  5. Step 5: Solve for x
    x = 158,655,137.69/14,113.98
  6. Step 6: Final answer
    x = 11,240.99

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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.