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Finding the Fourth Proportional to 12,803.47, 19,154.54 and 9,692.46

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Solution

The fourth proportional to 12,803.47, 19,154.54 and 9,692.46 is: 14,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.47 : 19,154.54 = 9,692.46 : x
  2. Step 2: Convert to fraction form
    12,803.47/19,154.54 = 9,692.46/x
  3. Step 3: Cross multiply
    12,803.47x = 19,154.54 × 9,692.46
  4. Step 4: Simplify right side
    12,803.47x = 185,654,637.00
  5. Step 5: Solve for x
    x = 185,654,637.00/12,803.47
  6. Step 6: Final answer
    x = 14,500.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.