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Finding the Fourth Proportional to 24,409.80, 36,619.02 and 9,624.60

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Solution

The fourth proportional to 24,409.80, 36,619.02 and 9,624.60 is: 14,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.80 : 36,619.02 = 9,624.60 : x
  2. Step 2: Convert to fraction form
    24,409.80/36,619.02 = 9,624.60/x
  3. Step 3: Cross multiply
    24,409.80x = 36,619.02 × 9,624.60
  4. Step 4: Simplify right side
    24,409.80x = 352,443,419.89
  5. Step 5: Solve for x
    x = 352,443,419.89/24,409.80
  6. Step 6: Final answer
    x = 14,438.60

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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.