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Finding the Fourth Proportional to 13,075.70, 19,613.54 and 5,289.98

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Solution

The fourth proportional to 13,075.70, 19,613.54 and 5,289.98 is: 7,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.70 : 19,613.54 = 5,289.98 : x
  2. Step 2: Convert to fraction form
    13,075.70/19,613.54 = 5,289.98/x
  3. Step 3: Cross multiply
    13,075.70x = 19,613.54 × 5,289.98
  4. Step 4: Simplify right side
    13,075.70x = 103,755,109.81
  5. Step 5: Solve for x
    x = 103,755,109.81/13,075.70
  6. Step 6: Final answer
    x = 7,934.96

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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.