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Finding the Fourth Proportional to 14,720.16, 20,313.96 and 8,005.84

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Solution

The fourth proportional to 14,720.16, 20,313.96 and 8,005.84 is: 11,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.16 : 20,313.96 = 8,005.84 : x
  2. Step 2: Convert to fraction form
    14,720.16/20,313.96 = 8,005.84/x
  3. Step 3: Cross multiply
    14,720.16x = 20,313.96 × 8,005.84
  4. Step 4: Simplify right side
    14,720.16x = 162,630,313.53
  5. Step 5: Solve for x
    x = 162,630,313.53/14,720.16
  6. Step 6: Final answer
    x = 11,048.13

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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.