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Finding the Fourth Proportional to 16,029.84, 24,045.64 and 4,944.16

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Solution

The fourth proportional to 16,029.84, 24,045.64 and 4,944.16 is: 7,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.84 : 24,045.64 = 4,944.16 : x
  2. Step 2: Convert to fraction form
    16,029.84/24,045.64 = 4,944.16/x
  3. Step 3: Cross multiply
    16,029.84x = 24,045.64 × 4,944.16
  4. Step 4: Simplify right side
    16,029.84x = 118,885,491.46
  5. Step 5: Solve for x
    x = 118,885,491.46/16,029.84
  6. Step 6: Final answer
    x = 7,416.51

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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.