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Finding the Fourth Proportional to 14,330.63, 21,504.15 and 5,564.41

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Solution

The fourth proportional to 14,330.63, 21,504.15 and 5,564.41 is: 8,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,330.63 : 21,504.15 = 5,564.41 : x
  2. Step 2: Convert to fraction form
    14,330.63/21,504.15 = 5,564.41/x
  3. Step 3: Cross multiply
    14,330.63x = 21,504.15 × 5,564.41
  4. Step 4: Simplify right side
    14,330.63x = 119,657,853.54
  5. Step 5: Solve for x
    x = 119,657,853.54/14,330.63
  6. Step 6: Final answer
    x = 8,349.80

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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.