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Finding the Fourth Proportional to 23,604.65, 32,578.78 and 13,533.16

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Solution

The fourth proportional to 23,604.65, 32,578.78 and 13,533.16 is: 18,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.65 : 32,578.78 = 13,533.16 : x
  2. Step 2: Convert to fraction form
    23,604.65/32,578.78 = 13,533.16/x
  3. Step 3: Cross multiply
    23,604.65x = 32,578.78 × 13,533.16
  4. Step 4: Simplify right side
    23,604.65x = 440,893,851.59
  5. Step 5: Solve for x
    x = 440,893,851.59/23,604.65
  6. Step 6: Final answer
    x = 18,678.26

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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.