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Finding the Fourth Proportional to 15,658.94, 23,472 and 11,492.70

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Solution

The fourth proportional to 15,658.94, 23,472 and 11,492.70 is: 17,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.94 : 23,472 = 11,492.70 : x
  2. Step 2: Convert to fraction form
    15,658.94/23,472 = 11,492.70/x
  3. Step 3: Cross multiply
    15,658.94x = 23,472 × 11,492.70
  4. Step 4: Simplify right side
    15,658.94x = 269,756,654.40
  5. Step 5: Solve for x
    x = 269,756,654.40/15,658.94
  6. Step 6: Final answer
    x = 17,227.01

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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.