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Finding the Fourth Proportional to 23,624.40, 35,423.80 and 9,774.80

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Solution

The fourth proportional to 23,624.40, 35,423.80 and 9,774.80 is: 14,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.40 : 35,423.80 = 9,774.80 : x
  2. Step 2: Convert to fraction form
    23,624.40/35,423.80 = 9,774.80/x
  3. Step 3: Cross multiply
    23,624.40x = 35,423.80 × 9,774.80
  4. Step 4: Simplify right side
    23,624.40x = 346,260,560.24
  5. Step 5: Solve for x
    x = 346,260,560.24/23,624.40
  6. Step 6: Final answer
    x = 14,656.90

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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.