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Finding the Fourth Proportional to 12,125.68, 18,188.46 and 10,477.18

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Solution

The fourth proportional to 12,125.68, 18,188.46 and 10,477.18 is: 15,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.68 : 18,188.46 = 10,477.18 : x
  2. Step 2: Convert to fraction form
    12,125.68/18,188.46 = 10,477.18/x
  3. Step 3: Cross multiply
    12,125.68x = 18,188.46 × 10,477.18
  4. Step 4: Simplify right side
    12,125.68x = 190,563,769.34
  5. Step 5: Solve for x
    x = 190,563,769.34/12,125.68
  6. Step 6: Final answer
    x = 15,715.72

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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.