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Finding the Fourth Proportional to 14,580.24, 21,880.01 and 8,011

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Solution

The fourth proportional to 14,580.24, 21,880.01 and 8,011 is: 12,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.24 : 21,880.01 = 8,011 : x
  2. Step 2: Convert to fraction form
    14,580.24/21,880.01 = 8,011/x
  3. Step 3: Cross multiply
    14,580.24x = 21,880.01 × 8,011
  4. Step 4: Simplify right side
    14,580.24x = 175,280,720.06
  5. Step 5: Solve for x
    x = 175,280,720.06/14,580.24
  6. Step 6: Final answer
    x = 12,021.80

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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.