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Finding the Fourth Proportional to 18,336, 25,303.62 and 9,952.50

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Solution

The fourth proportional to 18,336, 25,303.62 and 9,952.50 is: 13,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,336 : 25,303.62 = 9,952.50 : x
  2. Step 2: Convert to fraction form
    18,336/25,303.62 = 9,952.50/x
  3. Step 3: Cross multiply
    18,336x = 25,303.62 × 9,952.50
  4. Step 4: Simplify right side
    18,336x = 251,834,278.05
  5. Step 5: Solve for x
    x = 251,834,278.05/18,336
  6. Step 6: Final answer
    x = 13,734.42

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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.