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Finding the Fourth Proportional to 14,657.56, 21,978.60 and 4,795.60

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Solution

The fourth proportional to 14,657.56, 21,978.60 and 4,795.60 is: 7,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.56 : 21,978.60 = 4,795.60 : x
  2. Step 2: Convert to fraction form
    14,657.56/21,978.60 = 4,795.60/x
  3. Step 3: Cross multiply
    14,657.56x = 21,978.60 × 4,795.60
  4. Step 4: Simplify right side
    14,657.56x = 105,400,574.16
  5. Step 5: Solve for x
    x = 105,400,574.16/14,657.56
  6. Step 6: Final answer
    x = 7,190.87

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Why These Related Problems?

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