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Finding the Fourth Proportional to 14,760, 22,113 and 11,604.24

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Solution

The fourth proportional to 14,760, 22,113 and 11,604.24 is: 17,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,760 : 22,113 = 11,604.24 : x
  2. Step 2: Convert to fraction form
    14,760/22,113 = 11,604.24/x
  3. Step 3: Cross multiply
    14,760x = 22,113 × 11,604.24
  4. Step 4: Simplify right side
    14,760x = 256,604,559.12
  5. Step 5: Solve for x
    x = 256,604,559.12/14,760
  6. Step 6: Final answer
    x = 17,385.13

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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.