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Finding the Fourth Proportional to 14,037, 21,048.45 and 4,673.71

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Solution

The fourth proportional to 14,037, 21,048.45 and 4,673.71 is: 7,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037 : 21,048.45 = 4,673.71 : x
  2. Step 2: Convert to fraction form
    14,037/21,048.45 = 4,673.71/x
  3. Step 3: Cross multiply
    14,037x = 21,048.45 × 4,673.71
  4. Step 4: Simplify right side
    14,037x = 98,374,351.25
  5. Step 5: Solve for x
    x = 98,374,351.25/14,037
  6. Step 6: Final answer
    x = 7,008.22

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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.