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Finding the Fourth Proportional to 30,666.09, 45,999.14 and 9,889.59

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Solution

The fourth proportional to 30,666.09, 45,999.14 and 9,889.59 is: 14,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.09 : 45,999.14 = 9,889.59 : x
  2. Step 2: Convert to fraction form
    30,666.09/45,999.14 = 9,889.59/x
  3. Step 3: Cross multiply
    30,666.09x = 45,999.14 × 9,889.59
  4. Step 4: Simplify right side
    30,666.09x = 454,912,813.63
  5. Step 5: Solve for x
    x = 454,912,813.63/30,666.09
  6. Step 6: Final answer
    x = 14,834.39

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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.