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Finding the Fourth Proportional to 15,815.91, 21,833.04 and 10,075.83

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Solution

The fourth proportional to 15,815.91, 21,833.04 and 10,075.83 is: 13,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.91 : 21,833.04 = 10,075.83 : x
  2. Step 2: Convert to fraction form
    15,815.91/21,833.04 = 10,075.83/x
  3. Step 3: Cross multiply
    15,815.91x = 21,833.04 × 10,075.83
  4. Step 4: Simplify right side
    15,815.91x = 219,985,999.42
  5. Step 5: Solve for x
    x = 219,985,999.42/15,815.91
  6. Step 6: Final answer
    x = 13,909.16

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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.