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Finding the Fourth Proportional to 14,714.38, 22,068.38 and 5,354.63

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Solution

The fourth proportional to 14,714.38, 22,068.38 and 5,354.63 is: 8,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.38 : 22,068.38 = 5,354.63 : x
  2. Step 2: Convert to fraction form
    14,714.38/22,068.38 = 5,354.63/x
  3. Step 3: Cross multiply
    14,714.38x = 22,068.38 × 5,354.63
  4. Step 4: Simplify right side
    14,714.38x = 118,167,995.40
  5. Step 5: Solve for x
    x = 118,167,995.40/14,714.38
  6. Step 6: Final answer
    x = 8,030.78

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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.