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Finding the Fourth Proportional to 13,411.80, 18,526.32 and 10,306.80

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Solution

The fourth proportional to 13,411.80, 18,526.32 and 10,306.80 is: 14,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.80 : 18,526.32 = 10,306.80 : x
  2. Step 2: Convert to fraction form
    13,411.80/18,526.32 = 10,306.80/x
  3. Step 3: Cross multiply
    13,411.80x = 18,526.32 × 10,306.80
  4. Step 4: Simplify right side
    13,411.80x = 190,947,074.98
  5. Step 5: Solve for x
    x = 190,947,074.98/13,411.80
  6. Step 6: Final answer
    x = 14,237.24

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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.