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Finding the Fourth Proportional to 24,262.64, 36,392.52 and 14,273

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Solution

The fourth proportional to 24,262.64, 36,392.52 and 14,273 is: 21,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262.64 : 36,392.52 = 14,273 : x
  2. Step 2: Convert to fraction form
    24,262.64/36,392.52 = 14,273/x
  3. Step 3: Cross multiply
    24,262.64x = 36,392.52 × 14,273
  4. Step 4: Simplify right side
    24,262.64x = 519,430,437.96
  5. Step 5: Solve for x
    x = 519,430,437.96/24,262.64
  6. Step 6: Final answer
    x = 21,408.65

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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.