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Finding the Fourth Proportional to 16,076, 24,114 and 7,313.42

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Solution

The fourth proportional to 16,076, 24,114 and 7,313.42 is: 10,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076 : 24,114 = 7,313.42 : x
  2. Step 2: Convert to fraction form
    16,076/24,114 = 7,313.42/x
  3. Step 3: Cross multiply
    16,076x = 24,114 × 7,313.42
  4. Step 4: Simplify right side
    16,076x = 176,355,809.88
  5. Step 5: Solve for x
    x = 176,355,809.88/16,076
  6. Step 6: Final answer
    x = 10,970.13

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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.