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Finding the Fourth Proportional to 15,771.60, 23,657.49 and 4,678.38

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Solution

The fourth proportional to 15,771.60, 23,657.49 and 4,678.38 is: 7,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.60 : 23,657.49 = 4,678.38 : x
  2. Step 2: Convert to fraction form
    15,771.60/23,657.49 = 4,678.38/x
  3. Step 3: Cross multiply
    15,771.60x = 23,657.49 × 4,678.38
  4. Step 4: Simplify right side
    15,771.60x = 110,678,728.07
  5. Step 5: Solve for x
    x = 110,678,728.07/15,771.60
  6. Step 6: Final answer
    x = 7,017.60

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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.