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Finding the Fourth Proportional to 22,762.00, 34,148.08 and 6,969.25

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Solution

The fourth proportional to 22,762.00, 34,148.08 and 6,969.25 is: 10,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.00 : 34,148.08 = 6,969.25 : x
  2. Step 2: Convert to fraction form
    22,762.00/34,148.08 = 6,969.25/x
  3. Step 3: Cross multiply
    22,762.00x = 34,148.08 × 6,969.25
  4. Step 4: Simplify right side
    22,762.00x = 237,986,403.75
  5. Step 5: Solve for x
    x = 237,986,403.75/22,762.00
  6. Step 6: Final answer
    x = 10,455.42

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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.