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Finding the Fourth Proportional to 14,445.40, 21,675.30 and 8,210.20

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Solution

The fourth proportional to 14,445.40, 21,675.30 and 8,210.20 is: 12,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445.40 : 21,675.30 = 8,210.20 : x
  2. Step 2: Convert to fraction form
    14,445.40/21,675.30 = 8,210.20/x
  3. Step 3: Cross multiply
    14,445.40x = 21,675.30 × 8,210.20
  4. Step 4: Simplify right side
    14,445.40x = 177,958,548.06
  5. Step 5: Solve for x
    x = 177,958,548.06/14,445.40
  6. Step 6: Final answer
    x = 12,319.39

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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.