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Finding the Fourth Proportional to 21,536.16, 32,304.24 and 6,746.22

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Solution

The fourth proportional to 21,536.16, 32,304.24 and 6,746.22 is: 10,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.16 : 32,304.24 = 6,746.22 : x
  2. Step 2: Convert to fraction form
    21,536.16/32,304.24 = 6,746.22/x
  3. Step 3: Cross multiply
    21,536.16x = 32,304.24 × 6,746.22
  4. Step 4: Simplify right side
    21,536.16x = 217,931,509.97
  5. Step 5: Solve for x
    x = 217,931,509.97/21,536.16
  6. Step 6: Final answer
    x = 10,119.33

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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.