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Finding the Fourth Proportional to 14,714.14, 22,068 and 5,354.38

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Solution

The fourth proportional to 14,714.14, 22,068 and 5,354.38 is: 8,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.14 : 22,068 = 5,354.38 : x
  2. Step 2: Convert to fraction form
    14,714.14/22,068 = 5,354.38/x
  3. Step 3: Cross multiply
    14,714.14x = 22,068 × 5,354.38
  4. Step 4: Simplify right side
    14,714.14x = 118,160,347.50
  5. Step 5: Solve for x
    x = 118,160,347.50/14,714.14
  6. Step 6: Final answer
    x = 8,030.40

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Why These Related Problems?

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