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Finding the Fourth Proportional to 23,075, 31,841.34 and 13,001.78

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Solution

The fourth proportional to 23,075, 31,841.34 and 13,001.78 is: 17,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075 : 31,841.34 = 13,001.78 : x
  2. Step 2: Convert to fraction form
    23,075/31,841.34 = 13,001.78/x
  3. Step 3: Cross multiply
    23,075x = 31,841.34 × 13,001.78
  4. Step 4: Simplify right side
    23,075x = 413,994,097.59
  5. Step 5: Solve for x
    x = 413,994,097.59/23,075
  6. Step 6: Final answer
    x = 17,941.24

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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.