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Finding the Fourth Proportional to 13,815.16, 19,042.16 and 9,776.77

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Solution

The fourth proportional to 13,815.16, 19,042.16 and 9,776.77 is: 13,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.16 : 19,042.16 = 9,776.77 : x
  2. Step 2: Convert to fraction form
    13,815.16/19,042.16 = 9,776.77/x
  3. Step 3: Cross multiply
    13,815.16x = 19,042.16 × 9,776.77
  4. Step 4: Simplify right side
    13,815.16x = 186,170,722.13
  5. Step 5: Solve for x
    x = 186,170,722.13/13,815.16
  6. Step 6: Final answer
    x = 13,475.83

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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.