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Finding the Fourth Proportional to 15,086.66, 22,597.23 and 9,225.50

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Solution

The fourth proportional to 15,086.66, 22,597.23 and 9,225.50 is: 13,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.66 : 22,597.23 = 9,225.50 : x
  2. Step 2: Convert to fraction form
    15,086.66/22,597.23 = 9,225.50/x
  3. Step 3: Cross multiply
    15,086.66x = 22,597.23 × 9,225.50
  4. Step 4: Simplify right side
    15,086.66x = 208,470,745.37
  5. Step 5: Solve for x
    x = 208,470,745.37/15,086.66
  6. Step 6: Final answer
    x = 13,818.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.