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Finding the Fourth Proportional to 14,553.40, 21,830.10 and 4,023.40

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Solution

The fourth proportional to 14,553.40, 21,830.10 and 4,023.40 is: 6,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.40 : 21,830.10 = 4,023.40 : x
  2. Step 2: Convert to fraction form
    14,553.40/21,830.10 = 4,023.40/x
  3. Step 3: Cross multiply
    14,553.40x = 21,830.10 × 4,023.40
  4. Step 4: Simplify right side
    14,553.40x = 87,831,224.34
  5. Step 5: Solve for x
    x = 87,831,224.34/14,553.40
  6. Step 6: Final answer
    x = 6,035.10

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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.