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Finding the Fourth Proportional to 21,386.50, 29,513.37 and 13,003

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Solution

The fourth proportional to 21,386.50, 29,513.37 and 13,003 is: 17,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.50 : 29,513.37 = 13,003 : x
  2. Step 2: Convert to fraction form
    21,386.50/29,513.37 = 13,003/x
  3. Step 3: Cross multiply
    21,386.50x = 29,513.37 × 13,003
  4. Step 4: Simplify right side
    21,386.50x = 383,762,350.11
  5. Step 5: Solve for x
    x = 383,762,350.11/21,386.50
  6. Step 6: Final answer
    x = 17,944.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.