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Finding the Fourth Proportional to 12,534.37, 18,803.92 and 5,038.51

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Solution

The fourth proportional to 12,534.37, 18,803.92 and 5,038.51 is: 7,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.37 : 18,803.92 = 5,038.51 : x
  2. Step 2: Convert to fraction form
    12,534.37/18,803.92 = 5,038.51/x
  3. Step 3: Cross multiply
    12,534.37x = 18,803.92 × 5,038.51
  4. Step 4: Simplify right side
    12,534.37x = 94,743,619.75
  5. Step 5: Solve for x
    x = 94,743,619.75/12,534.37
  6. Step 6: Final answer
    x = 7,558.71

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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.