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Finding the Fourth Proportional to 13,420.56, 18,522.72 and 12,830.16

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Solution

The fourth proportional to 13,420.56, 18,522.72 and 12,830.16 is: 17,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.56 : 18,522.72 = 12,830.16 : x
  2. Step 2: Convert to fraction form
    13,420.56/18,522.72 = 12,830.16/x
  3. Step 3: Cross multiply
    13,420.56x = 18,522.72 × 12,830.16
  4. Step 4: Simplify right side
    13,420.56x = 237,649,461.24
  5. Step 5: Solve for x
    x = 237,649,461.24/13,420.56
  6. Step 6: Final answer
    x = 17,707.86

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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.