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Finding the Fourth Proportional to 14,095, 19,451.10 and 8,506

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Solution

The fourth proportional to 14,095, 19,451.10 and 8,506 is: 11,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095 : 19,451.10 = 8,506 : x
  2. Step 2: Convert to fraction form
    14,095/19,451.10 = 8,506/x
  3. Step 3: Cross multiply
    14,095x = 19,451.10 × 8,506
  4. Step 4: Simplify right side
    14,095x = 165,451,056.60
  5. Step 5: Solve for x
    x = 165,451,056.60/14,095
  6. Step 6: Final answer
    x = 11,738.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.