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Finding the Fourth Proportional to 12,875.34, 17,761.20 and 9,726.06

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Solution

The fourth proportional to 12,875.34, 17,761.20 and 9,726.06 is: 13,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.34 : 17,761.20 = 9,726.06 : x
  2. Step 2: Convert to fraction form
    12,875.34/17,761.20 = 9,726.06/x
  3. Step 3: Cross multiply
    12,875.34x = 17,761.20 × 9,726.06
  4. Step 4: Simplify right side
    12,875.34x = 172,746,496.87
  5. Step 5: Solve for x
    x = 172,746,496.87/12,875.34
  6. Step 6: Final answer
    x = 13,416.85

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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.