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Finding the Fourth Proportional to 14,374.92, 21,564.84 and 6,584.40

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Solution

The fourth proportional to 14,374.92, 21,564.84 and 6,584.40 is: 9,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.92 : 21,564.84 = 6,584.40 : x
  2. Step 2: Convert to fraction form
    14,374.92/21,564.84 = 6,584.40/x
  3. Step 3: Cross multiply
    14,374.92x = 21,564.84 × 6,584.40
  4. Step 4: Simplify right side
    14,374.92x = 141,991,532.50
  5. Step 5: Solve for x
    x = 141,991,532.50/14,374.92
  6. Step 6: Final answer
    x = 9,877.73

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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.