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Finding the Fourth Proportional to 14,237, 21,359.86 and 5,003

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Solution

The fourth proportional to 14,237, 21,359.86 and 5,003 is: 7,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237 : 21,359.86 = 5,003 : x
  2. Step 2: Convert to fraction form
    14,237/21,359.86 = 5,003/x
  3. Step 3: Cross multiply
    14,237x = 21,359.86 × 5,003
  4. Step 4: Simplify right side
    14,237x = 106,863,379.58
  5. Step 5: Solve for x
    x = 106,863,379.58/14,237
  6. Step 6: Final answer
    x = 7,506.03

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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.