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Finding the Fourth Proportional to 23,657.90, 35,486.84 and 8,075.66

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Solution

The fourth proportional to 23,657.90, 35,486.84 and 8,075.66 is: 12,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.90 : 35,486.84 = 8,075.66 : x
  2. Step 2: Convert to fraction form
    23,657.90/35,486.84 = 8,075.66/x
  3. Step 3: Cross multiply
    23,657.90x = 35,486.84 × 8,075.66
  4. Step 4: Simplify right side
    23,657.90x = 286,579,497.07
  5. Step 5: Solve for x
    x = 286,579,497.07/23,657.90
  6. Step 6: Final answer
    x = 12,113.48

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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.