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Finding the Fourth Proportional to 13,818, 19,069.65 and 7,849.92

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Solution

The fourth proportional to 13,818, 19,069.65 and 7,849.92 is: 10,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818 : 19,069.65 = 7,849.92 : x
  2. Step 2: Convert to fraction form
    13,818/19,069.65 = 7,849.92/x
  3. Step 3: Cross multiply
    13,818x = 19,069.65 × 7,849.92
  4. Step 4: Simplify right side
    13,818x = 149,695,226.93
  5. Step 5: Solve for x
    x = 149,695,226.93/13,818
  6. Step 6: Final answer
    x = 10,833.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.