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Finding the Fourth Proportional to 14,312.96, 21,466.20 and 6,524

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Solution

The fourth proportional to 14,312.96, 21,466.20 and 6,524 is: 9,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.96 : 21,466.20 = 6,524 : x
  2. Step 2: Convert to fraction form
    14,312.96/21,466.20 = 6,524/x
  3. Step 3: Cross multiply
    14,312.96x = 21,466.20 × 6,524
  4. Step 4: Simplify right side
    14,312.96x = 140,045,488.80
  5. Step 5: Solve for x
    x = 140,045,488.80/14,312.96
  6. Step 6: Final answer
    x = 9,784.52

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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.