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Finding the Fourth Proportional to 12,535.98, 18,802.50 and 5,039.24

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Solution

The fourth proportional to 12,535.98, 18,802.50 and 5,039.24 is: 7,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.98 : 18,802.50 = 5,039.24 : x
  2. Step 2: Convert to fraction form
    12,535.98/18,802.50 = 5,039.24/x
  3. Step 3: Cross multiply
    12,535.98x = 18,802.50 × 5,039.24
  4. Step 4: Simplify right side
    12,535.98x = 94,750,216.09
  5. Step 5: Solve for x
    x = 94,750,216.09/12,535.98
  6. Step 6: Final answer
    x = 7,558.26

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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.