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Finding the Fourth Proportional to 19,907.36, 29,865.36 and 6,056

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Solution

The fourth proportional to 19,907.36, 29,865.36 and 6,056 is: 9,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.36 : 29,865.36 = 6,056 : x
  2. Step 2: Convert to fraction form
    19,907.36/29,865.36 = 6,056/x
  3. Step 3: Cross multiply
    19,907.36x = 29,865.36 × 6,056
  4. Step 4: Simplify right side
    19,907.36x = 180,864,620.16
  5. Step 5: Solve for x
    x = 180,864,620.16/19,907.36
  6. Step 6: Final answer
    x = 9,085.31

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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.