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Finding the Fourth Proportional to 12,620.16, 17,419.12 and 7,314.32

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Solution

The fourth proportional to 12,620.16, 17,419.12 and 7,314.32 is: 10,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.16 : 17,419.12 = 7,314.32 : x
  2. Step 2: Convert to fraction form
    12,620.16/17,419.12 = 7,314.32/x
  3. Step 3: Cross multiply
    12,620.16x = 17,419.12 × 7,314.32
  4. Step 4: Simplify right side
    12,620.16x = 127,409,017.80
  5. Step 5: Solve for x
    x = 127,409,017.80/12,620.16
  6. Step 6: Final answer
    x = 10,095.67

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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.