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Finding the Fourth Proportional to 21,116.16, 31,672.08 and 14,176.08

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Solution

The fourth proportional to 21,116.16, 31,672.08 and 14,176.08 is: 21,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.16 : 31,672.08 = 14,176.08 : x
  2. Step 2: Convert to fraction form
    21,116.16/31,672.08 = 14,176.08/x
  3. Step 3: Cross multiply
    21,116.16x = 31,672.08 × 14,176.08
  4. Step 4: Simplify right side
    21,116.16x = 448,985,939.85
  5. Step 5: Solve for x
    x = 448,985,939.85/21,116.16
  6. Step 6: Final answer
    x = 21,262.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.