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Finding the Fourth Proportional to 14,123.28, 19,489.48 and 7,835.60

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Solution

The fourth proportional to 14,123.28, 19,489.48 and 7,835.60 is: 10,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.28 : 19,489.48 = 7,835.60 : x
  2. Step 2: Convert to fraction form
    14,123.28/19,489.48 = 7,835.60/x
  3. Step 3: Cross multiply
    14,123.28x = 19,489.48 × 7,835.60
  4. Step 4: Simplify right side
    14,123.28x = 152,711,769.49
  5. Step 5: Solve for x
    x = 152,711,769.49/14,123.28
  6. Step 6: Final answer
    x = 10,812.77

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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.