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Finding the Fourth Proportional to 15,146.67, 20,903.42 and 9,178.93

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Solution

The fourth proportional to 15,146.67, 20,903.42 and 9,178.93 is: 12,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.67 : 20,903.42 = 9,178.93 : x
  2. Step 2: Convert to fraction form
    15,146.67/20,903.42 = 9,178.93/x
  3. Step 3: Cross multiply
    15,146.67x = 20,903.42 × 9,178.93
  4. Step 4: Simplify right side
    15,146.67x = 191,870,901.48
  5. Step 5: Solve for x
    x = 191,870,901.48/15,146.67
  6. Step 6: Final answer
    x = 12,667.53

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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.