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Finding the Fourth Proportional to 17,184.32, 23,718.04 and 10,472.16

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Solution

The fourth proportional to 17,184.32, 23,718.04 and 10,472.16 is: 14,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.32 : 23,718.04 = 10,472.16 : x
  2. Step 2: Convert to fraction form
    17,184.32/23,718.04 = 10,472.16/x
  3. Step 3: Cross multiply
    17,184.32x = 23,718.04 × 10,472.16
  4. Step 4: Simplify right side
    17,184.32x = 248,379,109.77
  5. Step 5: Solve for x
    x = 248,379,109.77/17,184.32
  6. Step 6: Final answer
    x = 14,453.82

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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.