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Finding the Fourth Proportional to 12,853.68, 17,746.84 and 9,726.96

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Solution

The fourth proportional to 12,853.68, 17,746.84 and 9,726.96 is: 13,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.68 : 17,746.84 = 9,726.96 : x
  2. Step 2: Convert to fraction form
    12,853.68/17,746.84 = 9,726.96/x
  3. Step 3: Cross multiply
    12,853.68x = 17,746.84 × 9,726.96
  4. Step 4: Simplify right side
    12,853.68x = 172,622,802.81
  5. Step 5: Solve for x
    x = 172,622,802.81/12,853.68
  6. Step 6: Final answer
    x = 13,429.84

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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.