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Finding the Fourth Proportional to 19,409.32, 26,776.74 and 11,953

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Solution

The fourth proportional to 19,409.32, 26,776.74 and 11,953 is: 16,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.32 : 26,776.74 = 11,953 : x
  2. Step 2: Convert to fraction form
    19,409.32/26,776.74 = 11,953/x
  3. Step 3: Cross multiply
    19,409.32x = 26,776.74 × 11,953
  4. Step 4: Simplify right side
    19,409.32x = 320,062,373.22
  5. Step 5: Solve for x
    x = 320,062,373.22/19,409.32
  6. Step 6: Final answer
    x = 16,490.14

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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.