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Finding the Fourth Proportional to 14,421.60, 21,614.94 and 7,014.96

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Solution

The fourth proportional to 14,421.60, 21,614.94 and 7,014.96 is: 10,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.60 : 21,614.94 = 7,014.96 : x
  2. Step 2: Convert to fraction form
    14,421.60/21,614.94 = 7,014.96/x
  3. Step 3: Cross multiply
    14,421.60x = 21,614.94 × 7,014.96
  4. Step 4: Simplify right side
    14,421.60x = 151,627,939.50
  5. Step 5: Solve for x
    x = 151,627,939.50/14,421.60
  6. Step 6: Final answer
    x = 10,513.95

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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.