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Finding the Fourth Proportional to 14,960.74, 22,455 and 7,570.42

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Solution

The fourth proportional to 14,960.74, 22,455 and 7,570.42 is: 11,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960.74 : 22,455 = 7,570.42 : x
  2. Step 2: Convert to fraction form
    14,960.74/22,455 = 7,570.42/x
  3. Step 3: Cross multiply
    14,960.74x = 22,455 × 7,570.42
  4. Step 4: Simplify right side
    14,960.74x = 169,993,781.10
  5. Step 5: Solve for x
    x = 169,993,781.10/14,960.74
  6. Step 6: Final answer
    x = 11,362.66

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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.