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Finding the Fourth Proportional to 14,663.34, 20,235.15 and 8,374.86

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Solution

The fourth proportional to 14,663.34, 20,235.15 and 8,374.86 is: 11,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.34 : 20,235.15 = 8,374.86 : x
  2. Step 2: Convert to fraction form
    14,663.34/20,235.15 = 8,374.86/x
  3. Step 3: Cross multiply
    14,663.34x = 20,235.15 × 8,374.86
  4. Step 4: Simplify right side
    14,663.34x = 169,466,548.33
  5. Step 5: Solve for x
    x = 169,466,548.33/14,663.34
  6. Step 6: Final answer
    x = 11,557.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.