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Finding the Fourth Proportional to 12,483.60, 17,230.76 and 7,178.96

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Solution

The fourth proportional to 12,483.60, 17,230.76 and 7,178.96 is: 9,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.60 : 17,230.76 = 7,178.96 : x
  2. Step 2: Convert to fraction form
    12,483.60/17,230.76 = 7,178.96/x
  3. Step 3: Cross multiply
    12,483.60x = 17,230.76 × 7,178.96
  4. Step 4: Simplify right side
    12,483.60x = 123,698,936.81
  5. Step 5: Solve for x
    x = 123,698,936.81/12,483.60
  6. Step 6: Final answer
    x = 9,908.92

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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.