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Finding the Fourth Proportional to 16,585.76, 22,917.50 and 13,256.06

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Solution

The fourth proportional to 16,585.76, 22,917.50 and 13,256.06 is: 18,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.76 : 22,917.50 = 13,256.06 : x
  2. Step 2: Convert to fraction form
    16,585.76/22,917.50 = 13,256.06/x
  3. Step 3: Cross multiply
    16,585.76x = 22,917.50 × 13,256.06
  4. Step 4: Simplify right side
    16,585.76x = 303,795,623.89
  5. Step 5: Solve for x
    x = 303,795,623.89/16,585.76
  6. Step 6: Final answer
    x = 18,316.65

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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.