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Finding the Fourth Proportional to 15,075.90, 20,803.95 and 8,361

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Solution

The fourth proportional to 15,075.90, 20,803.95 and 8,361 is: 11,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075.90 : 20,803.95 = 8,361 : x
  2. Step 2: Convert to fraction form
    15,075.90/20,803.95 = 8,361/x
  3. Step 3: Cross multiply
    15,075.90x = 20,803.95 × 8,361
  4. Step 4: Simplify right side
    15,075.90x = 173,941,825.95
  5. Step 5: Solve for x
    x = 173,941,825.95/15,075.90
  6. Step 6: Final answer
    x = 11,537.74

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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.