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Finding the Fourth Proportional to 46,398, 69,608.56 and 13,566

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Solution

The fourth proportional to 46,398, 69,608.56 and 13,566 is: 20,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,398 : 69,608.56 = 13,566 : x
  2. Step 2: Convert to fraction form
    46,398/69,608.56 = 13,566/x
  3. Step 3: Cross multiply
    46,398x = 69,608.56 × 13,566
  4. Step 4: Simplify right side
    46,398x = 944,309,724.96
  5. Step 5: Solve for x
    x = 944,309,724.96/46,398
  6. Step 6: Final answer
    x = 20,352.38

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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.