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Finding the Fourth Proportional to 13,045.12, 19,568.22 and 5,254

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Solution

The fourth proportional to 13,045.12, 19,568.22 and 5,254 is: 7,881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.12 : 19,568.22 = 5,254 : x
  2. Step 2: Convert to fraction form
    13,045.12/19,568.22 = 5,254/x
  3. Step 3: Cross multiply
    13,045.12x = 19,568.22 × 5,254
  4. Step 4: Simplify right side
    13,045.12x = 102,811,427.88
  5. Step 5: Solve for x
    x = 102,811,427.88/13,045.12
  6. Step 6: Final answer
    x = 7,881.22

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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.