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Finding the Fourth Proportional to 16,312.71, 24,466.10 and 7,425.93

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Solution

The fourth proportional to 16,312.71, 24,466.10 and 7,425.93 is: 11,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.71 : 24,466.10 = 7,425.93 : x
  2. Step 2: Convert to fraction form
    16,312.71/24,466.10 = 7,425.93/x
  3. Step 3: Cross multiply
    16,312.71x = 24,466.10 × 7,425.93
  4. Step 4: Simplify right side
    16,312.71x = 181,683,508.84
  5. Step 5: Solve for x
    x = 181,683,508.84/16,312.71
  6. Step 6: Final answer
    x = 11,137.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.