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Finding the Fourth Proportional to 19,670.10, 27,142.56 and 11,710.77

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Solution

The fourth proportional to 19,670.10, 27,142.56 and 11,710.77 is: 16,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.10 : 27,142.56 = 11,710.77 : x
  2. Step 2: Convert to fraction form
    19,670.10/27,142.56 = 11,710.77/x
  3. Step 3: Cross multiply
    19,670.10x = 27,142.56 × 11,710.77
  4. Step 4: Simplify right side
    19,670.10x = 317,860,277.37
  5. Step 5: Solve for x
    x = 317,860,277.37/19,670.10
  6. Step 6: Final answer
    x = 16,159.57

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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.