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Finding the Fourth Proportional to 15,443.32, 23,168.54 and 5,055

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Solution

The fourth proportional to 15,443.32, 23,168.54 and 5,055 is: 7,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,443.32 : 23,168.54 = 5,055 : x
  2. Step 2: Convert to fraction form
    15,443.32/23,168.54 = 5,055/x
  3. Step 3: Cross multiply
    15,443.32x = 23,168.54 × 5,055
  4. Step 4: Simplify right side
    15,443.32x = 117,116,969.70
  5. Step 5: Solve for x
    x = 117,116,969.70/15,443.32
  6. Step 6: Final answer
    x = 7,583.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.