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Finding the Fourth Proportional to 14,434.79, 21,654 and 4,570.54

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Solution

The fourth proportional to 14,434.79, 21,654 and 4,570.54 is: 6,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.79 : 21,654 = 4,570.54 : x
  2. Step 2: Convert to fraction form
    14,434.79/21,654 = 4,570.54/x
  3. Step 3: Cross multiply
    14,434.79x = 21,654 × 4,570.54
  4. Step 4: Simplify right side
    14,434.79x = 98,970,419.03
  5. Step 5: Solve for x
    x = 98,970,419.03/14,434.79
  6. Step 6: Final answer
    x = 6,856.38

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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.