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Finding the Fourth Proportional to 13,823.23, 19,075.05 and 8,518.14

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Solution

The fourth proportional to 13,823.23, 19,075.05 and 8,518.14 is: 11,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.23 : 19,075.05 = 8,518.14 : x
  2. Step 2: Convert to fraction form
    13,823.23/19,075.05 = 8,518.14/x
  3. Step 3: Cross multiply
    13,823.23x = 19,075.05 × 8,518.14
  4. Step 4: Simplify right side
    13,823.23x = 162,483,946.41
  5. Step 5: Solve for x
    x = 162,483,946.41/13,823.23
  6. Step 6: Final answer
    x = 11,754.41

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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.