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Finding the Fourth Proportional to 24,596.20, 36,894.30 and 9,807.40

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Solution

The fourth proportional to 24,596.20, 36,894.30 and 9,807.40 is: 14,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596.20 : 36,894.30 = 9,807.40 : x
  2. Step 2: Convert to fraction form
    24,596.20/36,894.30 = 9,807.40/x
  3. Step 3: Cross multiply
    24,596.20x = 36,894.30 × 9,807.40
  4. Step 4: Simplify right side
    24,596.20x = 361,837,157.82
  5. Step 5: Solve for x
    x = 361,837,157.82/24,596.20
  6. Step 6: Final answer
    x = 14,711.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.