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Finding the Fourth Proportional to 12,534.24, 18,803.04 and 3,768

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Solution

The fourth proportional to 12,534.24, 18,803.04 and 3,768 is: 5,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.24 : 18,803.04 = 3,768 : x
  2. Step 2: Convert to fraction form
    12,534.24/18,803.04 = 3,768/x
  3. Step 3: Cross multiply
    12,534.24x = 18,803.04 × 3,768
  4. Step 4: Simplify right side
    12,534.24x = 70,849,854.72
  5. Step 5: Solve for x
    x = 70,849,854.72/12,534.24
  6. Step 6: Final answer
    x = 5,652.51

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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.