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Finding the Fourth Proportional to 15,527.87, 21,427.38 and 8,813.63

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Solution

The fourth proportional to 15,527.87, 21,427.38 and 8,813.63 is: 12,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.87 : 21,427.38 = 8,813.63 : x
  2. Step 2: Convert to fraction form
    15,527.87/21,427.38 = 8,813.63/x
  3. Step 3: Cross multiply
    15,527.87x = 21,427.38 × 8,813.63
  4. Step 4: Simplify right side
    15,527.87x = 188,852,999.19
  5. Step 5: Solve for x
    x = 188,852,999.19/15,527.87
  6. Step 6: Final answer
    x = 12,162.20

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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.