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Finding the Fourth Proportional to 16,000.95, 24,002.70 and 4,314

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Solution

The fourth proportional to 16,000.95, 24,002.70 and 4,314 is: 6,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.95 : 24,002.70 = 4,314 : x
  2. Step 2: Convert to fraction form
    16,000.95/24,002.70 = 4,314/x
  3. Step 3: Cross multiply
    16,000.95x = 24,002.70 × 4,314
  4. Step 4: Simplify right side
    16,000.95x = 103,547,647.80
  5. Step 5: Solve for x
    x = 103,547,647.80/16,000.95
  6. Step 6: Final answer
    x = 6,471.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.