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Finding the Fourth Proportional to 24,306.84, 36,460.53 and 7,666.47

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Solution

The fourth proportional to 24,306.84, 36,460.53 and 7,666.47 is: 11,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306.84 : 36,460.53 = 7,666.47 : x
  2. Step 2: Convert to fraction form
    24,306.84/36,460.53 = 7,666.47/x
  3. Step 3: Cross multiply
    24,306.84x = 36,460.53 × 7,666.47
  4. Step 4: Simplify right side
    24,306.84x = 279,523,559.43
  5. Step 5: Solve for x
    x = 279,523,559.43/24,306.84
  6. Step 6: Final answer
    x = 11,499.79

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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.