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Finding the Fourth Proportional to 14,176.57, 19,564.88 and 7,804.42

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Solution

The fourth proportional to 14,176.57, 19,564.88 and 7,804.42 is: 10,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.57 : 19,564.88 = 7,804.42 : x
  2. Step 2: Convert to fraction form
    14,176.57/19,564.88 = 7,804.42/x
  3. Step 3: Cross multiply
    14,176.57x = 19,564.88 × 7,804.42
  4. Step 4: Simplify right side
    14,176.57x = 152,692,540.77
  5. Step 5: Solve for x
    x = 152,692,540.77/14,176.57
  6. Step 6: Final answer
    x = 10,770.77

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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.