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Finding the Fourth Proportional to 14,291.83, 21,432.48 and 4,929.45

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Solution

The fourth proportional to 14,291.83, 21,432.48 and 4,929.45 is: 7,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.83 : 21,432.48 = 4,929.45 : x
  2. Step 2: Convert to fraction form
    14,291.83/21,432.48 = 4,929.45/x
  3. Step 3: Cross multiply
    14,291.83x = 21,432.48 × 4,929.45
  4. Step 4: Simplify right side
    14,291.83x = 105,650,338.54
  5. Step 5: Solve for x
    x = 105,650,338.54/14,291.83
  6. Step 6: Final answer
    x = 7,392.36

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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.