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Finding the Fourth Proportional to 18,565, 25,619.76 and 10,181.56

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Solution

The fourth proportional to 18,565, 25,619.76 and 10,181.56 is: 14,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565 : 25,619.76 = 10,181.56 : x
  2. Step 2: Convert to fraction form
    18,565/25,619.76 = 10,181.56/x
  3. Step 3: Cross multiply
    18,565x = 25,619.76 × 10,181.56
  4. Step 4: Simplify right side
    18,565x = 260,849,123.63
  5. Step 5: Solve for x
    x = 260,849,123.63/18,565
  6. Step 6: Final answer
    x = 14,050.59

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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.