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Finding the Fourth Proportional to 13,993.09, 19,312.13 and 8,024.74

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Solution

The fourth proportional to 13,993.09, 19,312.13 and 8,024.74 is: 11,075.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.09 : 19,312.13 = 8,024.74 : x
  2. Step 2: Convert to fraction form
    13,993.09/19,312.13 = 8,024.74/x
  3. Step 3: Cross multiply
    13,993.09x = 19,312.13 × 8,024.74
  4. Step 4: Simplify right side
    13,993.09x = 154,974,685.41
  5. Step 5: Solve for x
    x = 154,974,685.41/13,993.09
  6. Step 6: Final answer
    x = 11,075.09

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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.