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Finding the Fourth Proportional to 15,087.16, 22,597.98 and 9,226

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Solution

The fourth proportional to 15,087.16, 22,597.98 and 9,226 is: 13,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,087.16 : 22,597.98 = 9,226 : x
  2. Step 2: Convert to fraction form
    15,087.16/22,597.98 = 9,226/x
  3. Step 3: Cross multiply
    15,087.16x = 22,597.98 × 9,226
  4. Step 4: Simplify right side
    15,087.16x = 208,488,963.48
  5. Step 5: Solve for x
    x = 208,488,963.48/15,087.16
  6. Step 6: Final answer
    x = 13,818.97

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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.