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Finding the Fourth Proportional to 14,192.92, 19,582.50 and 9,469

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Solution

The fourth proportional to 14,192.92, 19,582.50 and 9,469 is: 13,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.92 : 19,582.50 = 9,469 : x
  2. Step 2: Convert to fraction form
    14,192.92/19,582.50 = 9,469/x
  3. Step 3: Cross multiply
    14,192.92x = 19,582.50 × 9,469
  4. Step 4: Simplify right side
    14,192.92x = 185,426,692.50
  5. Step 5: Solve for x
    x = 185,426,692.50/14,192.92
  6. Step 6: Final answer
    x = 13,064.73

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