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Finding the Fourth Proportional to 12,370.56, 18,534.24 and 10,303.80

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Solution

The fourth proportional to 12,370.56, 18,534.24 and 10,303.80 is: 15,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370.56 : 18,534.24 = 10,303.80 : x
  2. Step 2: Convert to fraction form
    12,370.56/18,534.24 = 10,303.80/x
  3. Step 3: Cross multiply
    12,370.56x = 18,534.24 × 10,303.80
  4. Step 4: Simplify right side
    12,370.56x = 190,973,102.11
  5. Step 5: Solve for x
    x = 190,973,102.11/12,370.56
  6. Step 6: Final answer
    x = 15,437.71

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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.