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Finding the Fourth Proportional to 14,801.96, 22,203.18 and 4,941.29

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Solution

The fourth proportional to 14,801.96, 22,203.18 and 4,941.29 is: 7,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.96 : 22,203.18 = 4,941.29 : x
  2. Step 2: Convert to fraction form
    14,801.96/22,203.18 = 4,941.29/x
  3. Step 3: Cross multiply
    14,801.96x = 22,203.18 × 4,941.29
  4. Step 4: Simplify right side
    14,801.96x = 109,712,406.81
  5. Step 5: Solve for x
    x = 109,712,406.81/14,801.96
  6. Step 6: Final answer
    x = 7,412.02

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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.