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Finding the Fourth Proportional to 19,577.40, 29,366.06 and 7,097.12

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Solution

The fourth proportional to 19,577.40, 29,366.06 and 7,097.12 is: 10,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577.40 : 29,366.06 = 7,097.12 : x
  2. Step 2: Convert to fraction form
    19,577.40/29,366.06 = 7,097.12/x
  3. Step 3: Cross multiply
    19,577.40x = 29,366.06 × 7,097.12
  4. Step 4: Simplify right side
    19,577.40x = 208,414,451.75
  5. Step 5: Solve for x
    x = 208,414,451.75/19,577.40
  6. Step 6: Final answer
    x = 10,645.67

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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.