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Finding the Fourth Proportional to 13,818.84, 19,070.04 and 7,850.52

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Solution

The fourth proportional to 13,818.84, 19,070.04 and 7,850.52 is: 10,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.84 : 19,070.04 = 7,850.52 : x
  2. Step 2: Convert to fraction form
    13,818.84/19,070.04 = 7,850.52/x
  3. Step 3: Cross multiply
    13,818.84x = 19,070.04 × 7,850.52
  4. Step 4: Simplify right side
    13,818.84x = 149,709,730.42
  5. Step 5: Solve for x
    x = 149,709,730.42/13,818.84
  6. Step 6: Final answer
    x = 10,833.74

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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.