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Finding the Fourth Proportional to 13,523.63, 20,275.70 and 6,124.28

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Solution

The fourth proportional to 13,523.63, 20,275.70 and 6,124.28 is: 9,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.63 : 20,275.70 = 6,124.28 : x
  2. Step 2: Convert to fraction form
    13,523.63/20,275.70 = 6,124.28/x
  3. Step 3: Cross multiply
    13,523.63x = 20,275.70 × 6,124.28
  4. Step 4: Simplify right side
    13,523.63x = 124,173,932.00
  5. Step 5: Solve for x
    x = 124,173,932.00/13,523.63
  6. Step 6: Final answer
    x = 9,182.00

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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.