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Finding the Fourth Proportional to 17,670.46, 24,378.25 and 11,386.50

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Solution

The fourth proportional to 17,670.46, 24,378.25 and 11,386.50 is: 15,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.46 : 24,378.25 = 11,386.50 : x
  2. Step 2: Convert to fraction form
    17,670.46/24,378.25 = 11,386.50/x
  3. Step 3: Cross multiply
    17,670.46x = 24,378.25 × 11,386.50
  4. Step 4: Simplify right side
    17,670.46x = 277,582,943.63
  5. Step 5: Solve for x
    x = 277,582,943.63/17,670.46
  6. Step 6: Final answer
    x = 15,708.87

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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.