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Finding the Fourth Proportional to 15,035.44, 22,555.32 and 4,648

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Solution

The fourth proportional to 15,035.44, 22,555.32 and 4,648 is: 6,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,035.44 : 22,555.32 = 4,648 : x
  2. Step 2: Convert to fraction form
    15,035.44/22,555.32 = 4,648/x
  3. Step 3: Cross multiply
    15,035.44x = 22,555.32 × 4,648
  4. Step 4: Simplify right side
    15,035.44x = 104,837,127.36
  5. Step 5: Solve for x
    x = 104,837,127.36/15,035.44
  6. Step 6: Final answer
    x = 6,972.67

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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.