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Finding the Fourth Proportional to 12,595.95, 18,857.48 and 9,489.06

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Solution

The fourth proportional to 12,595.95, 18,857.48 and 9,489.06 is: 14,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.95 : 18,857.48 = 9,489.06 : x
  2. Step 2: Convert to fraction form
    12,595.95/18,857.48 = 9,489.06/x
  3. Step 3: Cross multiply
    12,595.95x = 18,857.48 × 9,489.06
  4. Step 4: Simplify right side
    12,595.95x = 178,939,711.72
  5. Step 5: Solve for x
    x = 178,939,711.72/12,595.95
  6. Step 6: Final answer
    x = 14,206.13

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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.