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Finding the Fourth Proportional to 12,846.40, 17,707.52 and 10,484.48

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Solution

The fourth proportional to 12,846.40, 17,707.52 and 10,484.48 is: 14,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.40 : 17,707.52 = 10,484.48 : x
  2. Step 2: Convert to fraction form
    12,846.40/17,707.52 = 10,484.48/x
  3. Step 3: Cross multiply
    12,846.40x = 17,707.52 × 10,484.48
  4. Step 4: Simplify right side
    12,846.40x = 185,654,139.29
  5. Step 5: Solve for x
    x = 185,654,139.29/12,846.40
  6. Step 6: Final answer
    x = 14,451.84

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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.