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Finding the Fourth Proportional to 21,668.72, 32,483.62 and 7,814.48

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Solution

The fourth proportional to 21,668.72, 32,483.62 and 7,814.48 is: 11,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,668.72 : 32,483.62 = 7,814.48 : x
  2. Step 2: Convert to fraction form
    21,668.72/32,483.62 = 7,814.48/x
  3. Step 3: Cross multiply
    21,668.72x = 32,483.62 × 7,814.48
  4. Step 4: Simplify right side
    21,668.72x = 253,842,598.82
  5. Step 5: Solve for x
    x = 253,842,598.82/21,668.72
  6. Step 6: Final answer
    x = 11,714.70

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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.