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Finding the Fourth Proportional to 13,021.96, 17,970.24 and 7,432.96

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Solution

The fourth proportional to 13,021.96, 17,970.24 and 7,432.96 is: 10,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.96 : 17,970.24 = 7,432.96 : x
  2. Step 2: Convert to fraction form
    13,021.96/17,970.24 = 7,432.96/x
  3. Step 3: Cross multiply
    13,021.96x = 17,970.24 × 7,432.96
  4. Step 4: Simplify right side
    13,021.96x = 133,572,075.11
  5. Step 5: Solve for x
    x = 133,572,075.11/13,021.96
  6. Step 6: Final answer
    x = 10,257.45

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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.