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Finding the Fourth Proportional to 15,730.22, 21,707.24 and 8,656.50

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Solution

The fourth proportional to 15,730.22, 21,707.24 and 8,656.50 is: 11,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.22 : 21,707.24 = 8,656.50 : x
  2. Step 2: Convert to fraction form
    15,730.22/21,707.24 = 8,656.50/x
  3. Step 3: Cross multiply
    15,730.22x = 21,707.24 × 8,656.50
  4. Step 4: Simplify right side
    15,730.22x = 187,908,723.06
  5. Step 5: Solve for x
    x = 187,908,723.06/15,730.22
  6. Step 6: Final answer
    x = 11,945.71

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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.