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Finding the Fourth Proportional to 12,283.09, 18,424.57 and 3,518

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Solution

The fourth proportional to 12,283.09, 18,424.57 and 3,518 is: 5,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.09 : 18,424.57 = 3,518 : x
  2. Step 2: Convert to fraction form
    12,283.09/18,424.57 = 3,518/x
  3. Step 3: Cross multiply
    12,283.09x = 18,424.57 × 3,518
  4. Step 4: Simplify right side
    12,283.09x = 64,817,637.26
  5. Step 5: Solve for x
    x = 64,817,637.26/12,283.09
  6. Step 6: Final answer
    x = 5,276.98

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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.