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Finding the Fourth Proportional to 15,471, 21,349.78 and 8,397.68

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Solution

The fourth proportional to 15,471, 21,349.78 and 8,397.68 is: 11,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471 : 21,349.78 = 8,397.68 : x
  2. Step 2: Convert to fraction form
    15,471/21,349.78 = 8,397.68/x
  3. Step 3: Cross multiply
    15,471x = 21,349.78 × 8,397.68
  4. Step 4: Simplify right side
    15,471x = 179,288,492.77
  5. Step 5: Solve for x
    x = 179,288,492.77/15,471
  6. Step 6: Final answer
    x = 11,588.68

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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.