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Finding the Fourth Proportional to 14,833, 22,232.22 and 8,256.04

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Solution

The fourth proportional to 14,833, 22,232.22 and 8,256.04 is: 12,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833 : 22,232.22 = 8,256.04 : x
  2. Step 2: Convert to fraction form
    14,833/22,232.22 = 8,256.04/x
  3. Step 3: Cross multiply
    14,833x = 22,232.22 × 8,256.04
  4. Step 4: Simplify right side
    14,833x = 183,550,097.61
  5. Step 5: Solve for x
    x = 183,550,097.61/14,833
  6. Step 6: Final answer
    x = 12,374.44

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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.