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Finding the Fourth Proportional to 14,306.57, 21,464.53 and 6,911.88

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Solution

The fourth proportional to 14,306.57, 21,464.53 and 6,911.88 is: 10,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.57 : 21,464.53 = 6,911.88 : x
  2. Step 2: Convert to fraction form
    14,306.57/21,464.53 = 6,911.88/x
  3. Step 3: Cross multiply
    14,306.57x = 21,464.53 × 6,911.88
  4. Step 4: Simplify right side
    14,306.57x = 148,360,238.34
  5. Step 5: Solve for x
    x = 148,360,238.34/14,306.57
  6. Step 6: Final answer
    x = 10,370.08

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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.