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Finding the Fourth Proportional to 15,527.79, 21,427.63 and 8,454.19

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Solution

The fourth proportional to 15,527.79, 21,427.63 and 8,454.19 is: 11,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.79 : 21,427.63 = 8,454.19 : x
  2. Step 2: Convert to fraction form
    15,527.79/21,427.63 = 8,454.19/x
  3. Step 3: Cross multiply
    15,527.79x = 21,427.63 × 8,454.19
  4. Step 4: Simplify right side
    15,527.79x = 181,153,255.27
  5. Step 5: Solve for x
    x = 181,153,255.27/15,527.79
  6. Step 6: Final answer
    x = 11,666.39

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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.