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Finding the Fourth Proportional to 19,102.53, 26,357.91 and 11,142.77

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Solution

The fourth proportional to 19,102.53, 26,357.91 and 11,142.77 is: 15,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102.53 : 26,357.91 = 11,142.77 : x
  2. Step 2: Convert to fraction form
    19,102.53/26,357.91 = 11,142.77/x
  3. Step 3: Cross multiply
    19,102.53x = 26,357.91 × 11,142.77
  4. Step 4: Simplify right side
    19,102.53x = 293,699,955.24
  5. Step 5: Solve for x
    x = 293,699,955.24/19,102.53
  6. Step 6: Final answer
    x = 15,374.92

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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.