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Finding the Fourth Proportional to 12,267.60, 18,390.47 and 10,204.53

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Solution

The fourth proportional to 12,267.60, 18,390.47 and 10,204.53 is: 15,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.60 : 18,390.47 = 10,204.53 : x
  2. Step 2: Convert to fraction form
    12,267.60/18,390.47 = 10,204.53/x
  3. Step 3: Cross multiply
    12,267.60x = 18,390.47 × 10,204.53
  4. Step 4: Simplify right side
    12,267.60x = 187,666,051.81
  5. Step 5: Solve for x
    x = 187,666,051.81/12,267.60
  6. Step 6: Final answer
    x = 15,297.70

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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.