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Finding the Fourth Proportional to 19,485.30, 29,230.65 and 7,002.30

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Solution

The fourth proportional to 19,485.30, 29,230.65 and 7,002.30 is: 10,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,485.30 : 29,230.65 = 7,002.30 : x
  2. Step 2: Convert to fraction form
    19,485.30/29,230.65 = 7,002.30/x
  3. Step 3: Cross multiply
    19,485.30x = 29,230.65 × 7,002.30
  4. Step 4: Simplify right side
    19,485.30x = 204,681,780.50
  5. Step 5: Solve for x
    x = 204,681,780.50/19,485.30
  6. Step 6: Final answer
    x = 10,504.42

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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.