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Finding the Fourth Proportional to 14,554.88, 21,830.19 and 7,157.35

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Solution

The fourth proportional to 14,554.88, 21,830.19 and 7,157.35 is: 10,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554.88 : 21,830.19 = 7,157.35 : x
  2. Step 2: Convert to fraction form
    14,554.88/21,830.19 = 7,157.35/x
  3. Step 3: Cross multiply
    14,554.88x = 21,830.19 × 7,157.35
  4. Step 4: Simplify right side
    14,554.88x = 156,246,310.40
  5. Step 5: Solve for x
    x = 156,246,310.40/14,554.88
  6. Step 6: Final answer
    x = 10,734.98

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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.