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Finding the Fourth Proportional to 30,765.16, 42,455.94 and 16,618.01

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Solution

The fourth proportional to 30,765.16, 42,455.94 and 16,618.01 is: 22,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.16 : 42,455.94 = 16,618.01 : x
  2. Step 2: Convert to fraction form
    30,765.16/42,455.94 = 16,618.01/x
  3. Step 3: Cross multiply
    30,765.16x = 42,455.94 × 16,618.01
  4. Step 4: Simplify right side
    30,765.16x = 705,533,023.20
  5. Step 5: Solve for x
    x = 705,533,023.20/30,765.16
  6. Step 6: Final answer
    x = 22,932.86

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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.