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Finding the Fourth Proportional to 26,345.82, 36,357.29 and 14,409.16

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Solution

The fourth proportional to 26,345.82, 36,357.29 and 14,409.16 is: 19,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,345.82 : 36,357.29 = 14,409.16 : x
  2. Step 2: Convert to fraction form
    26,345.82/36,357.29 = 14,409.16/x
  3. Step 3: Cross multiply
    26,345.82x = 36,357.29 × 14,409.16
  4. Step 4: Simplify right side
    26,345.82x = 523,878,008.78
  5. Step 5: Solve for x
    x = 523,878,008.78/26,345.82
  6. Step 6: Final answer
    x = 19,884.67

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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.