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Finding the Fourth Proportional to 15,527.42, 21,427.92 and 8,453.84

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Solution

The fourth proportional to 15,527.42, 21,427.92 and 8,453.84 is: 11,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.42 : 21,427.92 = 8,453.84 : x
  2. Step 2: Convert to fraction form
    15,527.42/21,427.92 = 8,453.84/x
  3. Step 3: Cross multiply
    15,527.42x = 21,427.92 × 8,453.84
  4. Step 4: Simplify right side
    15,527.42x = 181,148,207.21
  5. Step 5: Solve for x
    x = 181,148,207.21/15,527.42
  6. Step 6: Final answer
    x = 11,666.34

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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.