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Finding the Fourth Proportional to 22,638.16, 33,965.34 and 11,547.64

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Solution

The fourth proportional to 22,638.16, 33,965.34 and 11,547.64 is: 17,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.16 : 33,965.34 = 11,547.64 : x
  2. Step 2: Convert to fraction form
    22,638.16/33,965.34 = 11,547.64/x
  3. Step 3: Cross multiply
    22,638.16x = 33,965.34 × 11,547.64
  4. Step 4: Simplify right side
    22,638.16x = 392,219,518.80
  5. Step 5: Solve for x
    x = 392,219,518.80/22,638.16
  6. Step 6: Final answer
    x = 17,325.59

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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.