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Finding the Fourth Proportional to 14,897.72, 22,349.46 and 5,663

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Solution

The fourth proportional to 14,897.72, 22,349.46 and 5,663 is: 8,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.72 : 22,349.46 = 5,663 : x
  2. Step 2: Convert to fraction form
    14,897.72/22,349.46 = 5,663/x
  3. Step 3: Cross multiply
    14,897.72x = 22,349.46 × 5,663
  4. Step 4: Simplify right side
    14,897.72x = 126,564,991.98
  5. Step 5: Solve for x
    x = 126,564,991.98/14,897.72
  6. Step 6: Final answer
    x = 8,495.59

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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.