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Finding the Fourth Proportional to 21,663.90, 32,498.01 and 7,809.66

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Solution

The fourth proportional to 21,663.90, 32,498.01 and 7,809.66 is: 11,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,663.90 : 32,498.01 = 7,809.66 : x
  2. Step 2: Convert to fraction form
    21,663.90/32,498.01 = 7,809.66/x
  3. Step 3: Cross multiply
    21,663.90x = 32,498.01 × 7,809.66
  4. Step 4: Simplify right side
    21,663.90x = 253,798,408.78
  5. Step 5: Solve for x
    x = 253,798,408.78/21,663.90
  6. Step 6: Final answer
    x = 11,715.27

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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.