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Finding the Fourth Proportional to 23,642.32, 35,468.52 and 11,802.46

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Solution

The fourth proportional to 23,642.32, 35,468.52 and 11,802.46 is: 17,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.32 : 35,468.52 = 11,802.46 : x
  2. Step 2: Convert to fraction form
    23,642.32/35,468.52 = 11,802.46/x
  3. Step 3: Cross multiply
    23,642.32x = 35,468.52 × 11,802.46
  4. Step 4: Simplify right side
    23,642.32x = 418,615,788.56
  5. Step 5: Solve for x
    x = 418,615,788.56/23,642.32
  6. Step 6: Final answer
    x = 17,706.21

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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.