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Finding the Fourth Proportional to 10,193.44, 15,270.24 and 7,023.40

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Solution

The fourth proportional to 10,193.44, 15,270.24 and 7,023.40 is: 10,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.44 : 15,270.24 = 7,023.40 : x
  2. Step 2: Convert to fraction form
    10,193.44/15,270.24 = 7,023.40/x
  3. Step 3: Cross multiply
    10,193.44x = 15,270.24 × 7,023.40
  4. Step 4: Simplify right side
    10,193.44x = 107,249,077.67
  5. Step 5: Solve for x
    x = 107,249,077.67/10,193.44
  6. Step 6: Final answer
    x = 10,521.38

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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.