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Finding the Fourth Proportional to 18,565, 25,619.70 and 10,181.68

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Solution

The fourth proportional to 18,565, 25,619.70 and 10,181.68 is: 14,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565 : 25,619.70 = 10,181.68 : x
  2. Step 2: Convert to fraction form
    18,565/25,619.70 = 10,181.68/x
  3. Step 3: Cross multiply
    18,565x = 25,619.70 × 10,181.68
  4. Step 4: Simplify right side
    18,565x = 260,851,587.10
  5. Step 5: Solve for x
    x = 260,851,587.10/18,565
  6. Step 6: Final answer
    x = 14,050.72

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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.