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Finding the Fourth Proportional to 19,530.14, 29,289.14 and 7,048.53

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Solution

The fourth proportional to 19,530.14, 29,289.14 and 7,048.53 is: 10,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530.14 : 29,289.14 = 7,048.53 : x
  2. Step 2: Convert to fraction form
    19,530.14/29,289.14 = 7,048.53/x
  3. Step 3: Cross multiply
    19,530.14x = 29,289.14 × 7,048.53
  4. Step 4: Simplify right side
    19,530.14x = 206,445,346.72
  5. Step 5: Solve for x
    x = 206,445,346.72/19,530.14
  6. Step 6: Final answer
    x = 10,570.61

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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.