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Finding the Fourth Proportional to 14,595.31, 21,890.53 and 5,827.87

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Solution

The fourth proportional to 14,595.31, 21,890.53 and 5,827.87 is: 8,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.31 : 21,890.53 = 5,827.87 : x
  2. Step 2: Convert to fraction form
    14,595.31/21,890.53 = 5,827.87/x
  3. Step 3: Cross multiply
    14,595.31x = 21,890.53 × 5,827.87
  4. Step 4: Simplify right side
    14,595.31x = 127,575,163.07
  5. Step 5: Solve for x
    x = 127,575,163.07/14,595.31
  6. Step 6: Final answer
    x = 8,740.83

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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.