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Finding the Fourth Proportional to 30,895.36, 42,635.20 and 16,748.16

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Solution

The fourth proportional to 30,895.36, 42,635.20 and 16,748.16 is: 23,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,895.36 : 42,635.20 = 16,748.16 : x
  2. Step 2: Convert to fraction form
    30,895.36/42,635.20 = 16,748.16/x
  3. Step 3: Cross multiply
    30,895.36x = 42,635.20 × 16,748.16
  4. Step 4: Simplify right side
    30,895.36x = 714,061,151.23
  5. Step 5: Solve for x
    x = 714,061,151.23/30,895.36
  6. Step 6: Final answer
    x = 23,112.25

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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.