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Finding the Fourth Proportional to 15,520, 23,290.24 and 7,312.64

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Solution

The fourth proportional to 15,520, 23,290.24 and 7,312.64 is: 10,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520 : 23,290.24 = 7,312.64 : x
  2. Step 2: Convert to fraction form
    15,520/23,290.24 = 7,312.64/x
  3. Step 3: Cross multiply
    15,520x = 23,290.24 × 7,312.64
  4. Step 4: Simplify right side
    15,520x = 170,313,140.63
  5. Step 5: Solve for x
    x = 170,313,140.63/15,520
  6. Step 6: Final answer
    x = 10,973.78

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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.