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Finding the Fourth Proportional to 12,471.14, 18,670.72 and 11,595.32

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Solution

The fourth proportional to 12,471.14, 18,670.72 and 11,595.32 is: 17,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.14 : 18,670.72 = 11,595.32 : x
  2. Step 2: Convert to fraction form
    12,471.14/18,670.72 = 11,595.32/x
  3. Step 3: Cross multiply
    12,471.14x = 18,670.72 × 11,595.32
  4. Step 4: Simplify right side
    12,471.14x = 216,492,973.03
  5. Step 5: Solve for x
    x = 216,492,973.03/12,471.14
  6. Step 6: Final answer
    x = 17,359.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.