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Finding the Fourth Proportional to 14,531.59, 21,764.58 and 6,724

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Solution

The fourth proportional to 14,531.59, 21,764.58 and 6,724 is: 10,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.59 : 21,764.58 = 6,724 : x
  2. Step 2: Convert to fraction form
    14,531.59/21,764.58 = 6,724/x
  3. Step 3: Cross multiply
    14,531.59x = 21,764.58 × 6,724
  4. Step 4: Simplify right side
    14,531.59x = 146,345,035.92
  5. Step 5: Solve for x
    x = 146,345,035.92/14,531.59
  6. Step 6: Final answer
    x = 10,070.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.