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Finding the Fourth Proportional to 21,746.31, 30,009.51 and 12,186.15

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Solution

The fourth proportional to 21,746.31, 30,009.51 and 12,186.15 is: 16,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746.31 : 30,009.51 = 12,186.15 : x
  2. Step 2: Convert to fraction form
    21,746.31/30,009.51 = 12,186.15/x
  3. Step 3: Cross multiply
    21,746.31x = 30,009.51 × 12,186.15
  4. Step 4: Simplify right side
    21,746.31x = 365,700,390.29
  5. Step 5: Solve for x
    x = 365,700,390.29/21,746.31
  6. Step 6: Final answer
    x = 16,816.66

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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.