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Finding the Fourth Proportional to 24,185.64, 33,375.75 and 13,430.53

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Solution

The fourth proportional to 24,185.64, 33,375.75 and 13,430.53 is: 18,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,185.64 : 33,375.75 = 13,430.53 : x
  2. Step 2: Convert to fraction form
    24,185.64/33,375.75 = 13,430.53/x
  3. Step 3: Cross multiply
    24,185.64x = 33,375.75 × 13,430.53
  4. Step 4: Simplify right side
    24,185.64x = 448,254,096.87
  5. Step 5: Solve for x
    x = 448,254,096.87/24,185.64
  6. Step 6: Final answer
    x = 18,533.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.