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Finding the Fourth Proportional to 13,572.50, 18,731.42 and 7,830.16

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Solution

The fourth proportional to 13,572.50, 18,731.42 and 7,830.16 is: 10,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572.50 : 18,731.42 = 7,830.16 : x
  2. Step 2: Convert to fraction form
    13,572.50/18,731.42 = 7,830.16/x
  3. Step 3: Cross multiply
    13,572.50x = 18,731.42 × 7,830.16
  4. Step 4: Simplify right side
    13,572.50x = 146,670,015.63
  5. Step 5: Solve for x
    x = 146,670,015.63/13,572.50
  6. Step 6: Final answer
    x = 10,806.41

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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.