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Finding the Fourth Proportional to 30,813.60, 42,522.76 and 16,666.46

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Solution

The fourth proportional to 30,813.60, 42,522.76 and 16,666.46 is: 22,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.60 : 42,522.76 = 16,666.46 : x
  2. Step 2: Convert to fraction form
    30,813.60/42,522.76 = 16,666.46/x
  3. Step 3: Cross multiply
    30,813.60x = 42,522.76 × 16,666.46
  4. Step 4: Simplify right side
    30,813.60x = 708,703,878.63
  5. Step 5: Solve for x
    x = 708,703,878.63/30,813.60
  6. Step 6: Final answer
    x = 22,999.71

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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.