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Finding the Fourth Proportional to 14,178.41, 19,565.72 and 7,804.96

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Solution

The fourth proportional to 14,178.41, 19,565.72 and 7,804.96 is: 10,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.41 : 19,565.72 = 7,804.96 : x
  2. Step 2: Convert to fraction form
    14,178.41/19,565.72 = 7,804.96/x
  3. Step 3: Cross multiply
    14,178.41x = 19,565.72 × 7,804.96
  4. Step 4: Simplify right side
    14,178.41x = 152,709,603.30
  5. Step 5: Solve for x
    x = 152,709,603.30/14,178.41
  6. Step 6: Final answer
    x = 10,770.57

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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.