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Finding the Fourth Proportional to 12,353.09, 18,510.20 and 9,548.78

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Solution

The fourth proportional to 12,353.09, 18,510.20 and 9,548.78 is: 14,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.09 : 18,510.20 = 9,548.78 : x
  2. Step 2: Convert to fraction form
    12,353.09/18,510.20 = 9,548.78/x
  3. Step 3: Cross multiply
    12,353.09x = 18,510.20 × 9,548.78
  4. Step 4: Simplify right side
    12,353.09x = 176,749,687.26
  5. Step 5: Solve for x
    x = 176,749,687.26/12,353.09
  6. Step 6: Final answer
    x = 14,308.14

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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.