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Finding the Fourth Proportional to 19,492.44, 29,196.54 and 10,239

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Solution

The fourth proportional to 19,492.44, 29,196.54 and 10,239 is: 15,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,492.44 : 29,196.54 = 10,239 : x
  2. Step 2: Convert to fraction form
    19,492.44/29,196.54 = 10,239/x
  3. Step 3: Cross multiply
    19,492.44x = 29,196.54 × 10,239
  4. Step 4: Simplify right side
    19,492.44x = 298,943,373.06
  5. Step 5: Solve for x
    x = 298,943,373.06/19,492.44
  6. Step 6: Final answer
    x = 15,336.38

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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.