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Finding the Fourth Proportional to 23,313, 34,999.98 and 13,842.60

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Solution

The fourth proportional to 23,313, 34,999.98 and 13,842.60 is: 20,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,313 : 34,999.98 = 13,842.60 : x
  2. Step 2: Convert to fraction form
    23,313/34,999.98 = 13,842.60/x
  3. Step 3: Cross multiply
    23,313x = 34,999.98 × 13,842.60
  4. Step 4: Simplify right side
    23,313x = 484,490,723.15
  5. Step 5: Solve for x
    x = 484,490,723.15/23,313
  6. Step 6: Final answer
    x = 20,782.00

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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.