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Finding the Fourth Proportional to 13,800.38, 20,707.52 and 6,303.08

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Solution

The fourth proportional to 13,800.38, 20,707.52 and 6,303.08 is: 9,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.38 : 20,707.52 = 6,303.08 : x
  2. Step 2: Convert to fraction form
    13,800.38/20,707.52 = 6,303.08/x
  3. Step 3: Cross multiply
    13,800.38x = 20,707.52 × 6,303.08
  4. Step 4: Simplify right side
    13,800.38x = 130,521,175.41
  5. Step 5: Solve for x
    x = 130,521,175.41/13,800.38
  6. Step 6: Final answer
    x = 9,457.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.