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Finding the Fourth Proportional to 30,386.66, 45,580.38 and 10,665.80

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Solution

The fourth proportional to 30,386.66, 45,580.38 and 10,665.80 is: 15,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.66 : 45,580.38 = 10,665.80 : x
  2. Step 2: Convert to fraction form
    30,386.66/45,580.38 = 10,665.80/x
  3. Step 3: Cross multiply
    30,386.66x = 45,580.38 × 10,665.80
  4. Step 4: Simplify right side
    30,386.66x = 486,151,217.00
  5. Step 5: Solve for x
    x = 486,151,217.00/30,386.66
  6. Step 6: Final answer
    x = 15,998.84

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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.