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Finding the Fourth Proportional to 15,195.02, 22,794.94 and 6,430

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Solution

The fourth proportional to 15,195.02, 22,794.94 and 6,430 is: 9,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,195.02 : 22,794.94 = 6,430 : x
  2. Step 2: Convert to fraction form
    15,195.02/22,794.94 = 6,430/x
  3. Step 3: Cross multiply
    15,195.02x = 22,794.94 × 6,430
  4. Step 4: Simplify right side
    15,195.02x = 146,571,464.20
  5. Step 5: Solve for x
    x = 146,571,464.20/15,195.02
  6. Step 6: Final answer
    x = 9,646.02

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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.