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Finding the Fourth Proportional to 14,530.05, 20,048.98 and 9,143.03

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Solution

The fourth proportional to 14,530.05, 20,048.98 and 9,143.03 is: 12,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.05 : 20,048.98 = 9,143.03 : x
  2. Step 2: Convert to fraction form
    14,530.05/20,048.98 = 9,143.03/x
  3. Step 3: Cross multiply
    14,530.05x = 20,048.98 × 9,143.03
  4. Step 4: Simplify right side
    14,530.05x = 183,308,370.10
  5. Step 5: Solve for x
    x = 183,308,370.10/14,530.05
  6. Step 6: Final answer
    x = 12,615.81

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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.