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Finding the Fourth Proportional to 19,156.50, 28,714.30 and 9,274.10

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Solution

The fourth proportional to 19,156.50, 28,714.30 and 9,274.10 is: 13,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156.50 : 28,714.30 = 9,274.10 : x
  2. Step 2: Convert to fraction form
    19,156.50/28,714.30 = 9,274.10/x
  3. Step 3: Cross multiply
    19,156.50x = 28,714.30 × 9,274.10
  4. Step 4: Simplify right side
    19,156.50x = 266,299,122.87
  5. Step 5: Solve for x
    x = 266,299,122.87/19,156.50
  6. Step 6: Final answer
    x = 13,901.24

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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.