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Finding the Fourth Proportional to 16,075.95, 22,181.22 and 9,703.58

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Solution

The fourth proportional to 16,075.95, 22,181.22 and 9,703.58 is: 13,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.95 : 22,181.22 = 9,703.58 : x
  2. Step 2: Convert to fraction form
    16,075.95/22,181.22 = 9,703.58/x
  3. Step 3: Cross multiply
    16,075.95x = 22,181.22 × 9,703.58
  4. Step 4: Simplify right side
    16,075.95x = 215,237,242.77
  5. Step 5: Solve for x
    x = 215,237,242.77/16,075.95
  6. Step 6: Final answer
    x = 13,388.77

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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.