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Finding the Fourth Proportional to 30,402.14, 45,600 and 14,387.84

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Solution

The fourth proportional to 30,402.14, 45,600 and 14,387.84 is: 21,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.14 : 45,600 = 14,387.84 : x
  2. Step 2: Convert to fraction form
    30,402.14/45,600 = 14,387.84/x
  3. Step 3: Cross multiply
    30,402.14x = 45,600 × 14,387.84
  4. Step 4: Simplify right side
    30,402.14x = 656,085,504
  5. Step 5: Solve for x
    x = 656,085,504/30,402.14
  6. Step 6: Final answer
    x = 21,580.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.