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Finding the Fourth Proportional to 16,379.46, 24,569.10 and 4,692.67

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Solution

The fourth proportional to 16,379.46, 24,569.10 and 4,692.67 is: 7,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.46 : 24,569.10 = 4,692.67 : x
  2. Step 2: Convert to fraction form
    16,379.46/24,569.10 = 4,692.67/x
  3. Step 3: Cross multiply
    16,379.46x = 24,569.10 × 4,692.67
  4. Step 4: Simplify right side
    16,379.46x = 115,294,678.50
  5. Step 5: Solve for x
    x = 115,294,678.50/16,379.46
  6. Step 6: Final answer
    x = 7,038.98

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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.