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Finding the Fourth Proportional to 16,347.91, 24,484.96 and 7,564.38

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Solution

The fourth proportional to 16,347.91, 24,484.96 and 7,564.38 is: 11,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.91 : 24,484.96 = 7,564.38 : x
  2. Step 2: Convert to fraction form
    16,347.91/24,484.96 = 7,564.38/x
  3. Step 3: Cross multiply
    16,347.91x = 24,484.96 × 7,564.38
  4. Step 4: Simplify right side
    16,347.91x = 185,213,541.72
  5. Step 5: Solve for x
    x = 185,213,541.72/16,347.91
  6. Step 6: Final answer
    x = 11,329.49

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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.