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Finding the Fourth Proportional to 13,091.48, 19,642.25 and 6,075.08

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Solution

The fourth proportional to 13,091.48, 19,642.25 and 6,075.08 is: 9,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.48 : 19,642.25 = 6,075.08 : x
  2. Step 2: Convert to fraction form
    13,091.48/19,642.25 = 6,075.08/x
  3. Step 3: Cross multiply
    13,091.48x = 19,642.25 × 6,075.08
  4. Step 4: Simplify right side
    13,091.48x = 119,328,157.11
  5. Step 5: Solve for x
    x = 119,328,157.11/13,091.48
  6. Step 6: Final answer
    x = 9,114.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.