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Finding the Fourth Proportional to 15,333.19, 23,008.65 and 6,447.82

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Solution

The fourth proportional to 15,333.19, 23,008.65 and 6,447.82 is: 9,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,333.19 : 23,008.65 = 6,447.82 : x
  2. Step 2: Convert to fraction form
    15,333.19/23,008.65 = 6,447.82/x
  3. Step 3: Cross multiply
    15,333.19x = 23,008.65 × 6,447.82
  4. Step 4: Simplify right side
    15,333.19x = 148,355,633.64
  5. Step 5: Solve for x
    x = 148,355,633.64/15,333.19
  6. Step 6: Final answer
    x = 9,675.46

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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.