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Finding the Fourth Proportional to 22,570.35, 31,143.22 and 14,075.14

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Solution

The fourth proportional to 22,570.35, 31,143.22 and 14,075.14 is: 19,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.35 : 31,143.22 = 14,075.14 : x
  2. Step 2: Convert to fraction form
    22,570.35/31,143.22 = 14,075.14/x
  3. Step 3: Cross multiply
    22,570.35x = 31,143.22 × 14,075.14
  4. Step 4: Simplify right side
    22,570.35x = 438,345,175.33
  5. Step 5: Solve for x
    x = 438,345,175.33/22,570.35
  6. Step 6: Final answer
    x = 19,421.28

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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.