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Finding the Fourth Proportional to 14,965.81, 22,465.11 and 6,206.86

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Solution

The fourth proportional to 14,965.81, 22,465.11 and 6,206.86 is: 9,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.81 : 22,465.11 = 6,206.86 : x
  2. Step 2: Convert to fraction form
    14,965.81/22,465.11 = 6,206.86/x
  3. Step 3: Cross multiply
    14,965.81x = 22,465.11 × 6,206.86
  4. Step 4: Simplify right side
    14,965.81x = 139,437,792.65
  5. Step 5: Solve for x
    x = 139,437,792.65/14,965.81
  6. Step 6: Final answer
    x = 9,317.09

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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.