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Finding the Fourth Proportional to 12,398.47, 18,610.00 and 9,655.16

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Solution

The fourth proportional to 12,398.47, 18,610.00 and 9,655.16 is: 14,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.47 : 18,610.00 = 9,655.16 : x
  2. Step 2: Convert to fraction form
    12,398.47/18,610.00 = 9,655.16/x
  3. Step 3: Cross multiply
    12,398.47x = 18,610.00 × 9,655.16
  4. Step 4: Simplify right side
    12,398.47x = 179,682,410.41
  5. Step 5: Solve for x
    x = 179,682,410.41/12,398.47
  6. Step 6: Final answer
    x = 14,492.31

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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.