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Finding the Fourth Proportional to 30,144, 41,598.72 and 16,896

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Solution

The fourth proportional to 30,144, 41,598.72 and 16,896 is: 23,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144 : 41,598.72 = 16,896 : x
  2. Step 2: Convert to fraction form
    30,144/41,598.72 = 16,896/x
  3. Step 3: Cross multiply
    30,144x = 41,598.72 × 16,896
  4. Step 4: Simplify right side
    30,144x = 702,851,973.12
  5. Step 5: Solve for x
    x = 702,851,973.12/30,144
  6. Step 6: Final answer
    x = 23,316.48

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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.