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Finding the Fourth Proportional to 30,887.64, 42,624.94 and 16,740.49

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Solution

The fourth proportional to 30,887.64, 42,624.94 and 16,740.49 is: 23,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,887.64 : 42,624.94 = 16,740.49 : x
  2. Step 2: Convert to fraction form
    30,887.64/42,624.94 = 16,740.49/x
  3. Step 3: Cross multiply
    30,887.64x = 42,624.94 × 16,740.49
  4. Step 4: Simplify right side
    30,887.64x = 713,562,381.82
  5. Step 5: Solve for x
    x = 713,562,381.82/30,887.64
  6. Step 6: Final answer
    x = 23,101.87

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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.