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Finding the Fourth Proportional to 30,360, 45,546.72 and 12,844.80

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Solution

The fourth proportional to 30,360, 45,546.72 and 12,844.80 is: 19,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,360 : 45,546.72 = 12,844.80 : x
  2. Step 2: Convert to fraction form
    30,360/45,546.72 = 12,844.80/x
  3. Step 3: Cross multiply
    30,360x = 45,546.72 × 12,844.80
  4. Step 4: Simplify right side
    30,360x = 585,038,509.06
  5. Step 5: Solve for x
    x = 585,038,509.06/30,360
  6. Step 6: Final answer
    x = 19,270.04

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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.