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Finding the Fourth Proportional to 16,075.45, 24,117 and 6,710.28

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Solution

The fourth proportional to 16,075.45, 24,117 and 6,710.28 is: 10,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.45 : 24,117 = 6,710.28 : x
  2. Step 2: Convert to fraction form
    16,075.45/24,117 = 6,710.28/x
  3. Step 3: Cross multiply
    16,075.45x = 24,117 × 6,710.28
  4. Step 4: Simplify right side
    16,075.45x = 161,831,822.76
  5. Step 5: Solve for x
    x = 161,831,822.76/16,075.45
  6. Step 6: Final answer
    x = 10,067.02

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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.