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Finding the Fourth Proportional to 21,930.14, 30,263.18 and 13,430.90

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Solution

The fourth proportional to 21,930.14, 30,263.18 and 13,430.90 is: 18,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.14 : 30,263.18 = 13,430.90 : x
  2. Step 2: Convert to fraction form
    21,930.14/30,263.18 = 13,430.90/x
  3. Step 3: Cross multiply
    21,930.14x = 30,263.18 × 13,430.90
  4. Step 4: Simplify right side
    21,930.14x = 406,461,525.79
  5. Step 5: Solve for x
    x = 406,461,525.79/21,930.14
  6. Step 6: Final answer
    x = 18,534.38

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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.