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Finding the Fourth Proportional to 24,431.40, 36,599.94 and 14,578.56

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Solution

The fourth proportional to 24,431.40, 36,599.94 and 14,578.56 is: 21,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.40 : 36,599.94 = 14,578.56 : x
  2. Step 2: Convert to fraction form
    24,431.40/36,599.94 = 14,578.56/x
  3. Step 3: Cross multiply
    24,431.40x = 36,599.94 × 14,578.56
  4. Step 4: Simplify right side
    24,431.40x = 533,574,421.29
  5. Step 5: Solve for x
    x = 533,574,421.29/24,431.40
  6. Step 6: Final answer
    x = 21,839.70

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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.