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Finding the Fourth Proportional to 30,454.16, 45,686.16 and 9,389.27

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Solution

The fourth proportional to 30,454.16, 45,686.16 and 9,389.27 is: 14,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454.16 : 45,686.16 = 9,389.27 : x
  2. Step 2: Convert to fraction form
    30,454.16/45,686.16 = 9,389.27/x
  3. Step 3: Cross multiply
    30,454.16x = 45,686.16 × 9,389.27
  4. Step 4: Simplify right side
    30,454.16x = 428,959,805.72
  5. Step 5: Solve for x
    x = 428,959,805.72/30,454.16
  6. Step 6: Final answer
    x = 14,085.42

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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.