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Finding the Fourth Proportional to 19,657.34, 27,123.53 and 11,159.81

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Solution

The fourth proportional to 19,657.34, 27,123.53 and 11,159.81 is: 15,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.34 : 27,123.53 = 11,159.81 : x
  2. Step 2: Convert to fraction form
    19,657.34/27,123.53 = 11,159.81/x
  3. Step 3: Cross multiply
    19,657.34x = 27,123.53 × 11,159.81
  4. Step 4: Simplify right side
    19,657.34x = 302,693,249.91
  5. Step 5: Solve for x
    x = 302,693,249.91/19,657.34
  6. Step 6: Final answer
    x = 15,398.49

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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.