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Finding the Fourth Proportional to 13,442.73, 18,547.92 and 7,777.32

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Solution

The fourth proportional to 13,442.73, 18,547.92 and 7,777.32 is: 10,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.73 : 18,547.92 = 7,777.32 : x
  2. Step 2: Convert to fraction form
    13,442.73/18,547.92 = 7,777.32/x
  3. Step 3: Cross multiply
    13,442.73x = 18,547.92 × 7,777.32
  4. Step 4: Simplify right side
    13,442.73x = 144,253,039.62
  5. Step 5: Solve for x
    x = 144,253,039.62/13,442.73
  6. Step 6: Final answer
    x = 10,730.94

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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.