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Finding the Fourth Proportional to 19,492.43, 29,221.08 and 7,009.52

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Solution

The fourth proportional to 19,492.43, 29,221.08 and 7,009.52 is: 10,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,492.43 : 29,221.08 = 7,009.52 : x
  2. Step 2: Convert to fraction form
    19,492.43/29,221.08 = 7,009.52/x
  3. Step 3: Cross multiply
    19,492.43x = 29,221.08 × 7,009.52
  4. Step 4: Simplify right side
    19,492.43x = 204,825,598.58
  5. Step 5: Solve for x
    x = 204,825,598.58/19,492.43
  6. Step 6: Final answer
    x = 10,507.96

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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.