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Finding the Fourth Proportional to 18,457, 27,685.24 and 8,590.76

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Solution

The fourth proportional to 18,457, 27,685.24 and 8,590.76 is: 12,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457 : 27,685.24 = 8,590.76 : x
  2. Step 2: Convert to fraction form
    18,457/27,685.24 = 8,590.76/x
  3. Step 3: Cross multiply
    18,457x = 27,685.24 × 8,590.76
  4. Step 4: Simplify right side
    18,457x = 237,837,252.38
  5. Step 5: Solve for x
    x = 237,837,252.38/18,457
  6. Step 6: Final answer
    x = 12,886.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.