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Finding the Fourth Proportional to 13,075.88, 19,613.84 and 5,284.71

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Solution

The fourth proportional to 13,075.88, 19,613.84 and 5,284.71 is: 7,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.88 : 19,613.84 = 5,284.71 : x
  2. Step 2: Convert to fraction form
    13,075.88/19,613.84 = 5,284.71/x
  3. Step 3: Cross multiply
    13,075.88x = 19,613.84 × 5,284.71
  4. Step 4: Simplify right side
    13,075.88x = 103,653,429.96
  5. Step 5: Solve for x
    x = 103,653,429.96/13,075.88
  6. Step 6: Final answer
    x = 7,927.07

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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.