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Finding the Fourth Proportional to 14,714.06, 20,304.98 and 8,341.24

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Solution

The fourth proportional to 14,714.06, 20,304.98 and 8,341.24 is: 11,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.06 : 20,304.98 = 8,341.24 : x
  2. Step 2: Convert to fraction form
    14,714.06/20,304.98 = 8,341.24/x
  3. Step 3: Cross multiply
    14,714.06x = 20,304.98 × 8,341.24
  4. Step 4: Simplify right side
    14,714.06x = 169,368,711.38
  5. Step 5: Solve for x
    x = 169,368,711.38/14,714.06
  6. Step 6: Final answer
    x = 11,510.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.