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Finding the Fourth Proportional to 14,590.79, 21,898.43 and 7,575.11

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Solution

The fourth proportional to 14,590.79, 21,898.43 and 7,575.11 is: 11,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.79 : 21,898.43 = 7,575.11 : x
  2. Step 2: Convert to fraction form
    14,590.79/21,898.43 = 7,575.11/x
  3. Step 3: Cross multiply
    14,590.79x = 21,898.43 × 7,575.11
  4. Step 4: Simplify right side
    14,590.79x = 165,883,016.08
  5. Step 5: Solve for x
    x = 165,883,016.08/14,590.79
  6. Step 6: Final answer
    x = 11,369.02

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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.