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Finding the Fourth Proportional to 24,314.63, 36,461.62 and 9,521.20

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Solution

The fourth proportional to 24,314.63, 36,461.62 and 9,521.20 is: 14,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.63 : 36,461.62 = 9,521.20 : x
  2. Step 2: Convert to fraction form
    24,314.63/36,461.62 = 9,521.20/x
  3. Step 3: Cross multiply
    24,314.63x = 36,461.62 × 9,521.20
  4. Step 4: Simplify right side
    24,314.63x = 347,158,201.95
  5. Step 5: Solve for x
    x = 347,158,201.95/24,314.63
  6. Step 6: Final answer
    x = 14,277.75

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1.5x scale

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.