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Finding the Fourth Proportional to 15,790.80, 23,657.40 and 9,627.60

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Solution

The fourth proportional to 15,790.80, 23,657.40 and 9,627.60 is: 14,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,790.80 : 23,657.40 = 9,627.60 : x
  2. Step 2: Convert to fraction form
    15,790.80/23,657.40 = 9,627.60/x
  3. Step 3: Cross multiply
    15,790.80x = 23,657.40 × 9,627.60
  4. Step 4: Simplify right side
    15,790.80x = 227,763,984.24
  5. Step 5: Solve for x
    x = 227,763,984.24/15,790.80
  6. Step 6: Final answer
    x = 14,423.84

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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.