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Finding the Fourth Proportional to 22,075.96, 30,457.37 and 12,514.82

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Solution

The fourth proportional to 22,075.96, 30,457.37 and 12,514.82 is: 17,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,075.96 : 30,457.37 = 12,514.82 : x
  2. Step 2: Convert to fraction form
    22,075.96/30,457.37 = 12,514.82/x
  3. Step 3: Cross multiply
    22,075.96x = 30,457.37 × 12,514.82
  4. Step 4: Simplify right side
    22,075.96x = 381,168,503.22
  5. Step 5: Solve for x
    x = 381,168,503.22/22,075.96
  6. Step 6: Final answer
    x = 17,266.23

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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.