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Finding the Fourth Proportional to 22,515.97, 31,075.89 and 13,090

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Solution

The fourth proportional to 22,515.97, 31,075.89 and 13,090 is: 18,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515.97 : 31,075.89 = 13,090 : x
  2. Step 2: Convert to fraction form
    22,515.97/31,075.89 = 13,090/x
  3. Step 3: Cross multiply
    22,515.97x = 31,075.89 × 13,090
  4. Step 4: Simplify right side
    22,515.97x = 406,783,400.10
  5. Step 5: Solve for x
    x = 406,783,400.10/22,515.97
  6. Step 6: Final answer
    x = 18,066.44

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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.