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Finding the Fourth Proportional to 21,461.19, 29,616.33 and 13,513.87

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Solution

The fourth proportional to 21,461.19, 29,616.33 and 13,513.87 is: 18,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.19 : 29,616.33 = 13,513.87 : x
  2. Step 2: Convert to fraction form
    21,461.19/29,616.33 = 13,513.87/x
  3. Step 3: Cross multiply
    21,461.19x = 29,616.33 × 13,513.87
  4. Step 4: Simplify right side
    21,461.19x = 400,231,233.50
  5. Step 5: Solve for x
    x = 400,231,233.50/21,461.19
  6. Step 6: Final answer
    x = 18,649.07

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