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Finding the Fourth Proportional to 30,666.30, 45,999.99 and 9,889.80

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Solution

The fourth proportional to 30,666.30, 45,999.99 and 9,889.80 is: 14,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.30 : 45,999.99 = 9,889.80 : x
  2. Step 2: Convert to fraction form
    30,666.30/45,999.99 = 9,889.80/x
  3. Step 3: Cross multiply
    30,666.30x = 45,999.99 × 9,889.80
  4. Step 4: Simplify right side
    30,666.30x = 454,930,701.10
  5. Step 5: Solve for x
    x = 454,930,701.10/30,666.30
  6. Step 6: Final answer
    x = 14,834.87

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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.