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Finding the Fourth Proportional to 13,817.86, 19,068.95 and 8,153.99

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Solution

The fourth proportional to 13,817.86, 19,068.95 and 8,153.99 is: 11,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.86 : 19,068.95 = 8,153.99 : x
  2. Step 2: Convert to fraction form
    13,817.86/19,068.95 = 8,153.99/x
  3. Step 3: Cross multiply
    13,817.86x = 19,068.95 × 8,153.99
  4. Step 4: Simplify right side
    13,817.86x = 155,488,024.16
  5. Step 5: Solve for x
    x = 155,488,024.16/13,817.86
  6. Step 6: Final answer
    x = 11,252.69

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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.