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Finding the Fourth Proportional to 23,643, 35,464.50 and 9,792

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Solution

The fourth proportional to 23,643, 35,464.50 and 9,792 is: 14,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643 : 35,464.50 = 9,792 : x
  2. Step 2: Convert to fraction form
    23,643/35,464.50 = 9,792/x
  3. Step 3: Cross multiply
    23,643x = 35,464.50 × 9,792
  4. Step 4: Simplify right side
    23,643x = 347,268,384
  5. Step 5: Solve for x
    x = 347,268,384/23,643
  6. Step 6: Final answer
    x = 14,688

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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.