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Finding the Fourth Proportional to 12,292.38, 18,430.74 and 5,720.58

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Solution

The fourth proportional to 12,292.38, 18,430.74 and 5,720.58 is: 8,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.38 : 18,430.74 = 5,720.58 : x
  2. Step 2: Convert to fraction form
    12,292.38/18,430.74 = 5,720.58/x
  3. Step 3: Cross multiply
    12,292.38x = 18,430.74 × 5,720.58
  4. Step 4: Simplify right side
    12,292.38x = 105,434,522.63
  5. Step 5: Solve for x
    x = 105,434,522.63/12,292.38
  6. Step 6: Final answer
    x = 8,577.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.