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Finding the Fourth Proportional to 13,106.64, 18,082.20 and 8,390.16

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Solution

The fourth proportional to 13,106.64, 18,082.20 and 8,390.16 is: 11,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.64 : 18,082.20 = 8,390.16 : x
  2. Step 2: Convert to fraction form
    13,106.64/18,082.20 = 8,390.16/x
  3. Step 3: Cross multiply
    13,106.64x = 18,082.20 × 8,390.16
  4. Step 4: Simplify right side
    13,106.64x = 151,712,551.15
  5. Step 5: Solve for x
    x = 151,712,551.15/13,106.64
  6. Step 6: Final answer
    x = 11,575.24

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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.