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Finding the Fourth Proportional to 14,075.80, 21,116.90 and 8,229.40

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Solution

The fourth proportional to 14,075.80, 21,116.90 and 8,229.40 is: 12,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.80 : 21,116.90 = 8,229.40 : x
  2. Step 2: Convert to fraction form
    14,075.80/21,116.90 = 8,229.40/x
  3. Step 3: Cross multiply
    14,075.80x = 21,116.90 × 8,229.40
  4. Step 4: Simplify right side
    14,075.80x = 173,779,416.86
  5. Step 5: Solve for x
    x = 173,779,416.86/14,075.80
  6. Step 6: Final answer
    x = 12,345.97

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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.