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Finding the Fourth Proportional to 14,158.95, 19,539.57 and 7,785.81

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Solution

The fourth proportional to 14,158.95, 19,539.57 and 7,785.81 is: 10,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.95 : 19,539.57 = 7,785.81 : x
  2. Step 2: Convert to fraction form
    14,158.95/19,539.57 = 7,785.81/x
  3. Step 3: Cross multiply
    14,158.95x = 19,539.57 × 7,785.81
  4. Step 4: Simplify right side
    14,158.95x = 152,131,379.50
  5. Step 5: Solve for x
    x = 152,131,379.50/14,158.95
  6. Step 6: Final answer
    x = 10,744.54

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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.