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Finding the Fourth Proportional to 18,533.90, 25,578.62 and 10,577.32

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Solution

The fourth proportional to 18,533.90, 25,578.62 and 10,577.32 is: 14,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.90 : 25,578.62 = 10,577.32 : x
  2. Step 2: Convert to fraction form
    18,533.90/25,578.62 = 10,577.32/x
  3. Step 3: Cross multiply
    18,533.90x = 25,578.62 × 10,577.32
  4. Step 4: Simplify right side
    18,533.90x = 270,553,132.07
  5. Step 5: Solve for x
    x = 270,553,132.07/18,533.90
  6. Step 6: Final answer
    x = 14,597.74

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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.