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Finding the Fourth Proportional to 14,163.90, 21,328.19 and 10,492.14

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Solution

The fourth proportional to 14,163.90, 21,328.19 and 10,492.14 is: 15,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.90 : 21,328.19 = 10,492.14 : x
  2. Step 2: Convert to fraction form
    14,163.90/21,328.19 = 10,492.14/x
  3. Step 3: Cross multiply
    14,163.90x = 21,328.19 × 10,492.14
  4. Step 4: Simplify right side
    14,163.90x = 223,778,302.97
  5. Step 5: Solve for x
    x = 223,778,302.97/14,163.90
  6. Step 6: Final answer
    x = 15,799.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.