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Finding the Fourth Proportional to 30,816.84, 42,527.58 and 16,669.92

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Solution

The fourth proportional to 30,816.84, 42,527.58 and 16,669.92 is: 23,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.84 : 42,527.58 = 16,669.92 : x
  2. Step 2: Convert to fraction form
    30,816.84/42,527.58 = 16,669.92/x
  3. Step 3: Cross multiply
    30,816.84x = 42,527.58 × 16,669.92
  4. Step 4: Simplify right side
    30,816.84x = 708,931,356.39
  5. Step 5: Solve for x
    x = 708,931,356.39/30,816.84
  6. Step 6: Final answer
    x = 23,004.67

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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.