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Finding the Fourth Proportional to 13,030.22, 19,538.04 and 4,262.78

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Solution

The fourth proportional to 13,030.22, 19,538.04 and 4,262.78 is: 6,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.22 : 19,538.04 = 4,262.78 : x
  2. Step 2: Convert to fraction form
    13,030.22/19,538.04 = 4,262.78/x
  3. Step 3: Cross multiply
    13,030.22x = 19,538.04 × 4,262.78
  4. Step 4: Simplify right side
    13,030.22x = 83,286,366.15
  5. Step 5: Solve for x
    x = 83,286,366.15/13,030.22
  6. Step 6: Final answer
    x = 6,391.79

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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.