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Finding the Fourth Proportional to 21,554.10, 32,285.73 and 9,877.14

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Solution

The fourth proportional to 21,554.10, 32,285.73 and 9,877.14 is: 14,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,554.10 : 32,285.73 = 9,877.14 : x
  2. Step 2: Convert to fraction form
    21,554.10/32,285.73 = 9,877.14/x
  3. Step 3: Cross multiply
    21,554.10x = 32,285.73 × 9,877.14
  4. Step 4: Simplify right side
    21,554.10x = 318,890,675.21
  5. Step 5: Solve for x
    x = 318,890,675.21/21,554.10
  6. Step 6: Final answer
    x = 14,794.90

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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.