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Finding the Fourth Proportional to 13,072.96, 19,572.80 and 7,128.32

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Solution

The fourth proportional to 13,072.96, 19,572.80 and 7,128.32 is: 10,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.96 : 19,572.80 = 7,128.32 : x
  2. Step 2: Convert to fraction form
    13,072.96/19,572.80 = 7,128.32/x
  3. Step 3: Cross multiply
    13,072.96x = 19,572.80 × 7,128.32
  4. Step 4: Simplify right side
    13,072.96x = 139,521,181.70
  5. Step 5: Solve for x
    x = 139,521,181.70/13,072.96
  6. Step 6: Final answer
    x = 10,672.50

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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.