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Finding the Fourth Proportional to 19,461.60, 29,192.84 and 6,314

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Solution

The fourth proportional to 19,461.60, 29,192.84 and 6,314 is: 9,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461.60 : 29,192.84 = 6,314 : x
  2. Step 2: Convert to fraction form
    19,461.60/29,192.84 = 6,314/x
  3. Step 3: Cross multiply
    19,461.60x = 29,192.84 × 6,314
  4. Step 4: Simplify right side
    19,461.60x = 184,323,591.76
  5. Step 5: Solve for x
    x = 184,323,591.76/19,461.60
  6. Step 6: Final answer
    x = 9,471.14

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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.