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Finding the Fourth Proportional to 17,946.96, 26,981.25 and 14,461.42

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Solution

The fourth proportional to 17,946.96, 26,981.25 and 14,461.42 is: 21,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.96 : 26,981.25 = 14,461.42 : x
  2. Step 2: Convert to fraction form
    17,946.96/26,981.25 = 14,461.42/x
  3. Step 3: Cross multiply
    17,946.96x = 26,981.25 × 14,461.42
  4. Step 4: Simplify right side
    17,946.96x = 390,187,188.38
  5. Step 5: Solve for x
    x = 390,187,188.38/17,946.96
  6. Step 6: Final answer
    x = 21,741.13

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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.