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Finding the Fourth Proportional to 17,830.08, 24,601.44 and 11,460

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Solution

The fourth proportional to 17,830.08, 24,601.44 and 11,460 is: 15,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.08 : 24,601.44 = 11,460 : x
  2. Step 2: Convert to fraction form
    17,830.08/24,601.44 = 11,460/x
  3. Step 3: Cross multiply
    17,830.08x = 24,601.44 × 11,460
  4. Step 4: Simplify right side
    17,830.08x = 281,932,502.40
  5. Step 5: Solve for x
    x = 281,932,502.40/17,830.08
  6. Step 6: Final answer
    x = 15,812.18

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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.