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Finding the Fourth Proportional to 17,031.72, 23,501.06 and 10,316.20

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Solution

The fourth proportional to 17,031.72, 23,501.06 and 10,316.20 is: 14,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,031.72 : 23,501.06 = 10,316.20 : x
  2. Step 2: Convert to fraction form
    17,031.72/23,501.06 = 10,316.20/x
  3. Step 3: Cross multiply
    17,031.72x = 23,501.06 × 10,316.20
  4. Step 4: Simplify right side
    17,031.72x = 242,441,635.17
  5. Step 5: Solve for x
    x = 242,441,635.17/17,031.72
  6. Step 6: Final answer
    x = 14,234.71

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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.