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Finding the Fourth Proportional to 30,813.60, 46,205.76 and 15,213

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Solution

The fourth proportional to 30,813.60, 46,205.76 and 15,213 is: 22,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.60 : 46,205.76 = 15,213 : x
  2. Step 2: Convert to fraction form
    30,813.60/46,205.76 = 15,213/x
  3. Step 3: Cross multiply
    30,813.60x = 46,205.76 × 15,213
  4. Step 4: Simplify right side
    30,813.60x = 702,928,226.88
  5. Step 5: Solve for x
    x = 702,928,226.88/30,813.60
  6. Step 6: Final answer
    x = 22,812.27

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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.