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Finding the Fourth Proportional to 14,181.57, 19,569.80 and 7,806.92

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Solution

The fourth proportional to 14,181.57, 19,569.80 and 7,806.92 is: 10,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.57 : 19,569.80 = 7,806.92 : x
  2. Step 2: Convert to fraction form
    14,181.57/19,569.80 = 7,806.92/x
  3. Step 3: Cross multiply
    14,181.57x = 19,569.80 × 7,806.92
  4. Step 4: Simplify right side
    14,181.57x = 152,779,863.02
  5. Step 5: Solve for x
    x = 152,779,863.02/14,181.57
  6. Step 6: Final answer
    x = 10,773.13

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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.