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Finding the Fourth Proportional to 14,328.70, 21,488.90 and 4,968.34

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Solution

The fourth proportional to 14,328.70, 21,488.90 and 4,968.34 is: 7,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328.70 : 21,488.90 = 4,968.34 : x
  2. Step 2: Convert to fraction form
    14,328.70/21,488.90 = 4,968.34/x
  3. Step 3: Cross multiply
    14,328.70x = 21,488.90 × 4,968.34
  4. Step 4: Simplify right side
    14,328.70x = 106,764,082.86
  5. Step 5: Solve for x
    x = 106,764,082.86/14,328.70
  6. Step 6: Final answer
    x = 7,451.07

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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.