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Finding the Fourth Proportional to 16,050.76, 24,075.42 and 4,957

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Solution

The fourth proportional to 16,050.76, 24,075.42 and 4,957 is: 7,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,050.76 : 24,075.42 = 4,957 : x
  2. Step 2: Convert to fraction form
    16,050.76/24,075.42 = 4,957/x
  3. Step 3: Cross multiply
    16,050.76x = 24,075.42 × 4,957
  4. Step 4: Simplify right side
    16,050.76x = 119,341,856.94
  5. Step 5: Solve for x
    x = 119,341,856.94/16,050.76
  6. Step 6: Final answer
    x = 7,435.28

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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.