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Finding the Fourth Proportional to 29,686.34, 40,970.94 and 17,111.18

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Solution

The fourth proportional to 29,686.34, 40,970.94 and 17,111.18 is: 23,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.34 : 40,970.94 = 17,111.18 : x
  2. Step 2: Convert to fraction form
    29,686.34/40,970.94 = 17,111.18/x
  3. Step 3: Cross multiply
    29,686.34x = 40,970.94 × 17,111.18
  4. Step 4: Simplify right side
    29,686.34x = 701,061,129.11
  5. Step 5: Solve for x
    x = 701,061,129.11/29,686.34
  6. Step 6: Final answer
    x = 23,615.61

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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.