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Finding the Fourth Proportional to 15,369.60, 23,048.32 and 5,509.12

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Solution

The fourth proportional to 15,369.60, 23,048.32 and 5,509.12 is: 8,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,369.60 : 23,048.32 = 5,509.12 : x
  2. Step 2: Convert to fraction form
    15,369.60/23,048.32 = 5,509.12/x
  3. Step 3: Cross multiply
    15,369.60x = 23,048.32 × 5,509.12
  4. Step 4: Simplify right side
    15,369.60x = 126,975,960.68
  5. Step 5: Solve for x
    x = 126,975,960.68/15,369.60
  6. Step 6: Final answer
    x = 8,261.50

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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.