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Finding the Fourth Proportional to 24,089.10, 36,124.66 and 8,289.71

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Solution

The fourth proportional to 24,089.10, 36,124.66 and 8,289.71 is: 12,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,089.10 : 36,124.66 = 8,289.71 : x
  2. Step 2: Convert to fraction form
    24,089.10/36,124.66 = 8,289.71/x
  3. Step 3: Cross multiply
    24,089.10x = 36,124.66 × 8,289.71
  4. Step 4: Simplify right side
    24,089.10x = 299,462,955.25
  5. Step 5: Solve for x
    x = 299,462,955.25/24,089.10
  6. Step 6: Final answer
    x = 12,431.47

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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.