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Finding the Fourth Proportional to 29,297.14, 40,430.01 and 15,868.39

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Solution

The fourth proportional to 29,297.14, 40,430.01 and 15,868.39 is: 21,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,297.14 : 40,430.01 = 15,868.39 : x
  2. Step 2: Convert to fraction form
    29,297.14/40,430.01 = 15,868.39/x
  3. Step 3: Cross multiply
    29,297.14x = 40,430.01 × 15,868.39
  4. Step 4: Simplify right side
    29,297.14x = 641,559,166.38
  5. Step 5: Solve for x
    x = 641,559,166.38/29,297.14
  6. Step 6: Final answer
    x = 21,898.35

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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.