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Finding the Fourth Proportional to 13,830.63, 19,085.46 and 8,527.16

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Solution

The fourth proportional to 13,830.63, 19,085.46 and 8,527.16 is: 11,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.63 : 19,085.46 = 8,527.16 : x
  2. Step 2: Convert to fraction form
    13,830.63/19,085.46 = 8,527.16/x
  3. Step 3: Cross multiply
    13,830.63x = 19,085.46 × 8,527.16
  4. Step 4: Simplify right side
    13,830.63x = 162,744,675.67
  5. Step 5: Solve for x
    x = 162,744,675.67/13,830.63
  6. Step 6: Final answer
    x = 11,766.97

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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.