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Finding the Fourth Proportional to 24,564.60, 36,825.30 and 9,783.48

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Solution

The fourth proportional to 24,564.60, 36,825.30 and 9,783.48 is: 14,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.60 : 36,825.30 = 9,783.48 : x
  2. Step 2: Convert to fraction form
    24,564.60/36,825.30 = 9,783.48/x
  3. Step 3: Cross multiply
    24,564.60x = 36,825.30 × 9,783.48
  4. Step 4: Simplify right side
    24,564.60x = 360,279,586.04
  5. Step 5: Solve for x
    x = 360,279,586.04/24,564.60
  6. Step 6: Final answer
    x = 14,666.62

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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.