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Finding the Fourth Proportional to 24,306, 36,465.48 and 11,994

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Solution

The fourth proportional to 24,306, 36,465.48 and 11,994 is: 17,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306 : 36,465.48 = 11,994 : x
  2. Step 2: Convert to fraction form
    24,306/36,465.48 = 11,994/x
  3. Step 3: Cross multiply
    24,306x = 36,465.48 × 11,994
  4. Step 4: Simplify right side
    24,306x = 437,366,967.12
  5. Step 5: Solve for x
    x = 437,366,967.12/24,306
  6. Step 6: Final answer
    x = 17,994.20

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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.