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Finding the Fourth Proportional to 17,946, 24,776.56 and 11,575.68

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Solution

The fourth proportional to 17,946, 24,776.56 and 11,575.68 is: 15,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946 : 24,776.56 = 11,575.68 : x
  2. Step 2: Convert to fraction form
    17,946/24,776.56 = 11,575.68/x
  3. Step 3: Cross multiply
    17,946x = 24,776.56 × 11,575.68
  4. Step 4: Simplify right side
    17,946x = 286,805,530.06
  5. Step 5: Solve for x
    x = 286,805,530.06/17,946
  6. Step 6: Final answer
    x = 15,981.59

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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.