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Finding the Fourth Proportional to 30,650.61, 45,966.20 and 9,869.25

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Solution

The fourth proportional to 30,650.61, 45,966.20 and 9,869.25 is: 14,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.61 : 45,966.20 = 9,869.25 : x
  2. Step 2: Convert to fraction form
    30,650.61/45,966.20 = 9,869.25/x
  3. Step 3: Cross multiply
    30,650.61x = 45,966.20 × 9,869.25
  4. Step 4: Simplify right side
    30,650.61x = 453,651,870.00
  5. Step 5: Solve for x
    x = 453,651,870.00/30,650.61
  6. Step 6: Final answer
    x = 14,800.75

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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.