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Finding the Fourth Proportional to 13,670.23, 20,430.44 and 9,980.23

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Solution

The fourth proportional to 13,670.23, 20,430.44 and 9,980.23 is: 14,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.23 : 20,430.44 = 9,980.23 : x
  2. Step 2: Convert to fraction form
    13,670.23/20,430.44 = 9,980.23/x
  3. Step 3: Cross multiply
    13,670.23x = 20,430.44 × 9,980.23
  4. Step 4: Simplify right side
    13,670.23x = 203,900,490.20
  5. Step 5: Solve for x
    x = 203,900,490.20/13,670.23
  6. Step 6: Final answer
    x = 14,915.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.