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Finding the Fourth Proportional to 13,630.10, 20,430.56 and 7,049.66

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Solution

The fourth proportional to 13,630.10, 20,430.56 and 7,049.66 is: 10,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.10 : 20,430.56 = 7,049.66 : x
  2. Step 2: Convert to fraction form
    13,630.10/20,430.56 = 7,049.66/x
  3. Step 3: Cross multiply
    13,630.10x = 20,430.56 × 7,049.66
  4. Step 4: Simplify right side
    13,630.10x = 144,028,417.08
  5. Step 5: Solve for x
    x = 144,028,417.08/13,630.10
  6. Step 6: Final answer
    x = 10,566.94

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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.