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Finding the Fourth Proportional to 21,572.69, 32,353.10 and 13,663.34

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Solution

The fourth proportional to 21,572.69, 32,353.10 and 13,663.34 is: 20,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.69 : 32,353.10 = 13,663.34 : x
  2. Step 2: Convert to fraction form
    21,572.69/32,353.10 = 13,663.34/x
  3. Step 3: Cross multiply
    21,572.69x = 32,353.10 × 13,663.34
  4. Step 4: Simplify right side
    21,572.69x = 442,051,405.35
  5. Step 5: Solve for x
    x = 442,051,405.35/21,572.69
  6. Step 6: Final answer
    x = 20,491.25

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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.