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Finding the Fourth Proportional to 15,092.34, 20,834.92 and 9,430.23

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Solution

The fourth proportional to 15,092.34, 20,834.92 and 9,430.23 is: 13,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.34 : 20,834.92 = 9,430.23 : x
  2. Step 2: Convert to fraction form
    15,092.34/20,834.92 = 9,430.23/x
  3. Step 3: Cross multiply
    15,092.34x = 20,834.92 × 9,430.23
  4. Step 4: Simplify right side
    15,092.34x = 196,478,087.63
  5. Step 5: Solve for x
    x = 196,478,087.63/15,092.34
  6. Step 6: Final answer
    x = 13,018.40

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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.