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Finding the Fourth Proportional to 18,402, 25,395.30 and 10,019.04

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Solution

The fourth proportional to 18,402, 25,395.30 and 10,019.04 is: 13,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402 : 25,395.30 = 10,019.04 : x
  2. Step 2: Convert to fraction form
    18,402/25,395.30 = 10,019.04/x
  3. Step 3: Cross multiply
    18,402x = 25,395.30 × 10,019.04
  4. Step 4: Simplify right side
    18,402x = 254,436,526.51
  5. Step 5: Solve for x
    x = 254,436,526.51/18,402
  6. Step 6: Final answer
    x = 13,826.57

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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.