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Finding the Fourth Proportional to 14,135.82, 19,500.09 and 8,389.95

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Solution

The fourth proportional to 14,135.82, 19,500.09 and 8,389.95 is: 11,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.82 : 19,500.09 = 8,389.95 : x
  2. Step 2: Convert to fraction form
    14,135.82/19,500.09 = 8,389.95/x
  3. Step 3: Cross multiply
    14,135.82x = 19,500.09 × 8,389.95
  4. Step 4: Simplify right side
    14,135.82x = 163,604,780.10
  5. Step 5: Solve for x
    x = 163,604,780.10/14,135.82
  6. Step 6: Final answer
    x = 11,573.77

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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.