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Finding the Fourth Proportional to 32,000.13, 48,008.40 and 9,813.69

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Solution

The fourth proportional to 32,000.13, 48,008.40 and 9,813.69 is: 14,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.13 : 48,008.40 = 9,813.69 : x
  2. Step 2: Convert to fraction form
    32,000.13/48,008.40 = 9,813.69/x
  3. Step 3: Cross multiply
    32,000.13x = 48,008.40 × 9,813.69
  4. Step 4: Simplify right side
    32,000.13x = 471,139,555.00
  5. Step 5: Solve for x
    x = 471,139,555.00/32,000.13
  6. Step 6: Final answer
    x = 14,723.05

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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.