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Finding the Fourth Proportional to 17,624.16, 24,323.40 and 10,071.72

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Solution

The fourth proportional to 17,624.16, 24,323.40 and 10,071.72 is: 13,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.16 : 24,323.40 = 10,071.72 : x
  2. Step 2: Convert to fraction form
    17,624.16/24,323.40 = 10,071.72/x
  3. Step 3: Cross multiply
    17,624.16x = 24,323.40 × 10,071.72
  4. Step 4: Simplify right side
    17,624.16x = 244,978,474.25
  5. Step 5: Solve for x
    x = 244,978,474.25/17,624.16
  6. Step 6: Final answer
    x = 13,900.15

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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.