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Finding the Fourth Proportional to 13,030.32, 17,984.28 and 7,441.32

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Solution

The fourth proportional to 13,030.32, 17,984.28 and 7,441.32 is: 10,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.32 : 17,984.28 = 7,441.32 : x
  2. Step 2: Convert to fraction form
    13,030.32/17,984.28 = 7,441.32/x
  3. Step 3: Cross multiply
    13,030.32x = 17,984.28 × 7,441.32
  4. Step 4: Simplify right side
    13,030.32x = 133,826,782.45
  5. Step 5: Solve for x
    x = 133,826,782.45/13,030.32
  6. Step 6: Final answer
    x = 10,270.41

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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.