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Finding the Fourth Proportional to 14,835.42, 20,478.04 and 9,174.50

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Solution

The fourth proportional to 14,835.42, 20,478.04 and 9,174.50 is: 12,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835.42 : 20,478.04 = 9,174.50 : x
  2. Step 2: Convert to fraction form
    14,835.42/20,478.04 = 9,174.50/x
  3. Step 3: Cross multiply
    14,835.42x = 20,478.04 × 9,174.50
  4. Step 4: Simplify right side
    14,835.42x = 187,875,777.98
  5. Step 5: Solve for x
    x = 187,875,777.98/14,835.42
  6. Step 6: Final answer
    x = 12,664.00

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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.