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Finding the Fourth Proportional to 23,830.74, 32,900.94 and 14,886

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Solution

The fourth proportional to 23,830.74, 32,900.94 and 14,886 is: 20,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.74 : 32,900.94 = 14,886 : x
  2. Step 2: Convert to fraction form
    23,830.74/32,900.94 = 14,886/x
  3. Step 3: Cross multiply
    23,830.74x = 32,900.94 × 14,886
  4. Step 4: Simplify right side
    23,830.74x = 489,763,392.84
  5. Step 5: Solve for x
    x = 489,763,392.84/23,830.74
  6. Step 6: Final answer
    x = 20,551.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.