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Finding the Fourth Proportional to 17,581, 24,256.06 and 12,278.74

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Solution

The fourth proportional to 17,581, 24,256.06 and 12,278.74 is: 16,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,581 : 24,256.06 = 12,278.74 : x
  2. Step 2: Convert to fraction form
    17,581/24,256.06 = 12,278.74/x
  3. Step 3: Cross multiply
    17,581x = 24,256.06 × 12,278.74
  4. Step 4: Simplify right side
    17,581x = 297,833,854.16
  5. Step 5: Solve for x
    x = 297,833,854.16/17,581
  6. Step 6: Final answer
    x = 16,940.67

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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.