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Finding the Fourth Proportional to 15,634.32, 21,573.86 and 9,263.40

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Solution

The fourth proportional to 15,634.32, 21,573.86 and 9,263.40 is: 12,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.32 : 21,573.86 = 9,263.40 : x
  2. Step 2: Convert to fraction form
    15,634.32/21,573.86 = 9,263.40/x
  3. Step 3: Cross multiply
    15,634.32x = 21,573.86 × 9,263.40
  4. Step 4: Simplify right side
    15,634.32x = 199,847,294.72
  5. Step 5: Solve for x
    x = 199,847,294.72/15,634.32
  6. Step 6: Final answer
    x = 12,782.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.