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Finding the Fourth Proportional to 30,402.64, 45,600.75 and 14,388.34

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Solution

The fourth proportional to 30,402.64, 45,600.75 and 14,388.34 is: 21,580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.64 : 45,600.75 = 14,388.34 : x
  2. Step 2: Convert to fraction form
    30,402.64/45,600.75 = 14,388.34/x
  3. Step 3: Cross multiply
    30,402.64x = 45,600.75 × 14,388.34
  4. Step 4: Simplify right side
    30,402.64x = 656,119,095.26
  5. Step 5: Solve for x
    x = 656,119,095.26/30,402.64
  6. Step 6: Final answer
    x = 21,580.99

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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.