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Finding the Fourth Proportional to 23,837.64, 35,742.62 and 9,038.49

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Solution

The fourth proportional to 23,837.64, 35,742.62 and 9,038.49 is: 13,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.64 : 35,742.62 = 9,038.49 : x
  2. Step 2: Convert to fraction form
    23,837.64/35,742.62 = 9,038.49/x
  3. Step 3: Cross multiply
    23,837.64x = 35,742.62 × 9,038.49
  4. Step 4: Simplify right side
    23,837.64x = 323,059,089.54
  5. Step 5: Solve for x
    x = 323,059,089.54/23,837.64
  6. Step 6: Final answer
    x = 13,552.48

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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.