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Finding the Fourth Proportional to 16,030.10, 24,038.67 and 6,169.70

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Solution

The fourth proportional to 16,030.10, 24,038.67 and 6,169.70 is: 9,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.10 : 24,038.67 = 6,169.70 : x
  2. Step 2: Convert to fraction form
    16,030.10/24,038.67 = 6,169.70/x
  3. Step 3: Cross multiply
    16,030.10x = 24,038.67 × 6,169.70
  4. Step 4: Simplify right side
    16,030.10x = 148,311,382.30
  5. Step 5: Solve for x
    x = 148,311,382.30/16,030.10
  6. Step 6: Final answer
    x = 9,252.06

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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.