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Finding the Fourth Proportional to 13,188.96, 19,783.42 and 4,870.80

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Solution

The fourth proportional to 13,188.96, 19,783.42 and 4,870.80 is: 7,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.96 : 19,783.42 = 4,870.80 : x
  2. Step 2: Convert to fraction form
    13,188.96/19,783.42 = 4,870.80/x
  3. Step 3: Cross multiply
    13,188.96x = 19,783.42 × 4,870.80
  4. Step 4: Simplify right side
    13,188.96x = 96,361,082.14
  5. Step 5: Solve for x
    x = 96,361,082.14/13,188.96
  6. Step 6: Final answer
    x = 7,306.19

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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.