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Finding the Fourth Proportional to 18,648, 25,734.65 and 10,264.50

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Solution

The fourth proportional to 18,648, 25,734.65 and 10,264.50 is: 14,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648 : 25,734.65 = 10,264.50 : x
  2. Step 2: Convert to fraction form
    18,648/25,734.65 = 10,264.50/x
  3. Step 3: Cross multiply
    18,648x = 25,734.65 × 10,264.50
  4. Step 4: Simplify right side
    18,648x = 264,153,263.60
  5. Step 5: Solve for x
    x = 264,153,263.60/18,648
  6. Step 6: Final answer
    x = 14,165.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.