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Finding the Fourth Proportional to 14,071.12, 19,418.00 and 7,697.64

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Solution

The fourth proportional to 14,071.12, 19,418.00 and 7,697.64 is: 10,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.12 : 19,418.00 = 7,697.64 : x
  2. Step 2: Convert to fraction form
    14,071.12/19,418.00 = 7,697.64/x
  3. Step 3: Cross multiply
    14,071.12x = 19,418.00 × 7,697.64
  4. Step 4: Simplify right side
    14,071.12x = 149,472,807.85
  5. Step 5: Solve for x
    x = 149,472,807.85/14,071.12
  6. Step 6: Final answer
    x = 10,622.67

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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.