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Finding the Fourth Proportional to 14,492.80, 21,733.80 and 10,097.20

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Solution

The fourth proportional to 14,492.80, 21,733.80 and 10,097.20 is: 15,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.80 : 21,733.80 = 10,097.20 : x
  2. Step 2: Convert to fraction form
    14,492.80/21,733.80 = 10,097.20/x
  3. Step 3: Cross multiply
    14,492.80x = 21,733.80 × 10,097.20
  4. Step 4: Simplify right side
    14,492.80x = 219,450,525.36
  5. Step 5: Solve for x
    x = 219,450,525.36/14,492.80
  6. Step 6: Final answer
    x = 15,142.04

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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.