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Finding the Fourth Proportional to 22,587.84, 33,853.26 and 11,497.32

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Solution

The fourth proportional to 22,587.84, 33,853.26 and 11,497.32 is: 17,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,587.84 : 33,853.26 = 11,497.32 : x
  2. Step 2: Convert to fraction form
    22,587.84/33,853.26 = 11,497.32/x
  3. Step 3: Cross multiply
    22,587.84x = 33,853.26 × 11,497.32
  4. Step 4: Simplify right side
    22,587.84x = 389,221,763.26
  5. Step 5: Solve for x
    x = 389,221,763.26/22,587.84
  6. Step 6: Final answer
    x = 17,231.47

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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.