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Finding the Fourth Proportional to 15,776.82, 23,666.49 and 5,246.46

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Solution

The fourth proportional to 15,776.82, 23,666.49 and 5,246.46 is: 7,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.82 : 23,666.49 = 5,246.46 : x
  2. Step 2: Convert to fraction form
    15,776.82/23,666.49 = 5,246.46/x
  3. Step 3: Cross multiply
    15,776.82x = 23,666.49 × 5,246.46
  4. Step 4: Simplify right side
    15,776.82x = 124,165,293.13
  5. Step 5: Solve for x
    x = 124,165,293.13/15,776.82
  6. Step 6: Final answer
    x = 7,870.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.