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Finding the Fourth Proportional to 23,075.80, 34,613.70 and 14,327.80

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Solution

The fourth proportional to 23,075.80, 34,613.70 and 14,327.80 is: 21,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.80 : 34,613.70 = 14,327.80 : x
  2. Step 2: Convert to fraction form
    23,075.80/34,613.70 = 14,327.80/x
  3. Step 3: Cross multiply
    23,075.80x = 34,613.70 × 14,327.80
  4. Step 4: Simplify right side
    23,075.80x = 495,938,170.86
  5. Step 5: Solve for x
    x = 495,938,170.86/23,075.80
  6. Step 6: Final answer
    x = 21,491.70

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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.