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Finding the Fourth Proportional to 16,574.67, 24,823.71 and 9,986.31

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Solution

The fourth proportional to 16,574.67, 24,823.71 and 9,986.31 is: 14,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.67 : 24,823.71 = 9,986.31 : x
  2. Step 2: Convert to fraction form
    16,574.67/24,823.71 = 9,986.31/x
  3. Step 3: Cross multiply
    16,574.67x = 24,823.71 × 9,986.31
  4. Step 4: Simplify right side
    16,574.67x = 247,897,263.41
  5. Step 5: Solve for x
    x = 247,897,263.41/16,574.67
  6. Step 6: Final answer
    x = 14,956.39

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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.