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Finding the Fourth Proportional to 19,352.14, 29,041.16 and 7,040.14

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Solution

The fourth proportional to 19,352.14, 29,041.16 and 7,040.14 is: 10,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,352.14 : 29,041.16 = 7,040.14 : x
  2. Step 2: Convert to fraction form
    19,352.14/29,041.16 = 7,040.14/x
  3. Step 3: Cross multiply
    19,352.14x = 29,041.16 × 7,040.14
  4. Step 4: Simplify right side
    19,352.14x = 204,453,832.16
  5. Step 5: Solve for x
    x = 204,453,832.16/19,352.14
  6. Step 6: Final answer
    x = 10,564.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.