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Finding the Fourth Proportional to 14,830.39, 20,457.04 and 9,794.62

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Solution

The fourth proportional to 14,830.39, 20,457.04 and 9,794.62 is: 13,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.39 : 20,457.04 = 9,794.62 : x
  2. Step 2: Convert to fraction form
    14,830.39/20,457.04 = 9,794.62/x
  3. Step 3: Cross multiply
    14,830.39x = 20,457.04 × 9,794.62
  4. Step 4: Simplify right side
    14,830.39x = 200,368,781.87
  5. Step 5: Solve for x
    x = 200,368,781.87/14,830.39
  6. Step 6: Final answer
    x = 13,510.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.