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Finding the Fourth Proportional to 17,364.70, 23,941.02 and 11,386

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Solution

The fourth proportional to 17,364.70, 23,941.02 and 11,386 is: 15,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.70 : 23,941.02 = 11,386 : x
  2. Step 2: Convert to fraction form
    17,364.70/23,941.02 = 11,386/x
  3. Step 3: Cross multiply
    17,364.70x = 23,941.02 × 11,386
  4. Step 4: Simplify right side
    17,364.70x = 272,592,453.72
  5. Step 5: Solve for x
    x = 272,592,453.72/17,364.70
  6. Step 6: Final answer
    x = 15,698.08

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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.