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Finding the Fourth Proportional to 24,308.48, 36,459.64 and 9,527.78

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Solution

The fourth proportional to 24,308.48, 36,459.64 and 9,527.78 is: 14,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308.48 : 36,459.64 = 9,527.78 : x
  2. Step 2: Convert to fraction form
    24,308.48/36,459.64 = 9,527.78/x
  3. Step 3: Cross multiply
    24,308.48x = 36,459.64 × 9,527.78
  4. Step 4: Simplify right side
    24,308.48x = 347,379,428.80
  5. Step 5: Solve for x
    x = 347,379,428.80/24,308.48
  6. Step 6: Final answer
    x = 14,290.46

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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.