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Finding the Fourth Proportional to 14,002.52, 21,007.10 and 4,007.40

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Solution

The fourth proportional to 14,002.52, 21,007.10 and 4,007.40 is: 6,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.52 : 21,007.10 = 4,007.40 : x
  2. Step 2: Convert to fraction form
    14,002.52/21,007.10 = 4,007.40/x
  3. Step 3: Cross multiply
    14,002.52x = 21,007.10 × 4,007.40
  4. Step 4: Simplify right side
    14,002.52x = 84,183,832.50
  5. Step 5: Solve for x
    x = 84,183,832.50/14,002.52
  6. Step 6: Final answer
    x = 6,012.05

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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.