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Finding the Fourth Proportional to 12,210.78, 18,323.73 and 5,637.90

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Solution

The fourth proportional to 12,210.78, 18,323.73 and 5,637.90 is: 8,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.78 : 18,323.73 = 5,637.90 : x
  2. Step 2: Convert to fraction form
    12,210.78/18,323.73 = 5,637.90/x
  3. Step 3: Cross multiply
    12,210.78x = 18,323.73 × 5,637.90
  4. Step 4: Simplify right side
    12,210.78x = 103,307,357.37
  5. Step 5: Solve for x
    x = 103,307,357.37/12,210.78
  6. Step 6: Final answer
    x = 8,460.34

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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.