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Finding the Fourth Proportional to 14,384.48, 21,580.05 and 4,523.50

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Solution

The fourth proportional to 14,384.48, 21,580.05 and 4,523.50 is: 6,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.48 : 21,580.05 = 4,523.50 : x
  2. Step 2: Convert to fraction form
    14,384.48/21,580.05 = 4,523.50/x
  3. Step 3: Cross multiply
    14,384.48x = 21,580.05 × 4,523.50
  4. Step 4: Simplify right side
    14,384.48x = 97,617,405.74
  5. Step 5: Solve for x
    x = 97,617,405.74/14,384.48
  6. Step 6: Final answer
    x = 6,786.30

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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.