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Finding the Fourth Proportional to 13,536.63, 18,680.22 and 7,569

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Solution

The fourth proportional to 13,536.63, 18,680.22 and 7,569 is: 10,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.63 : 18,680.22 = 7,569 : x
  2. Step 2: Convert to fraction form
    13,536.63/18,680.22 = 7,569/x
  3. Step 3: Cross multiply
    13,536.63x = 18,680.22 × 7,569
  4. Step 4: Simplify right side
    13,536.63x = 141,390,585.18
  5. Step 5: Solve for x
    x = 141,390,585.18/13,536.63
  6. Step 6: Final answer
    x = 10,445.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.