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Finding the Fourth Proportional to 29,813.16, 41,130.36 and 19,209

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Solution

The fourth proportional to 29,813.16, 41,130.36 and 19,209 is: 26,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,813.16 : 41,130.36 = 19,209 : x
  2. Step 2: Convert to fraction form
    29,813.16/41,130.36 = 19,209/x
  3. Step 3: Cross multiply
    29,813.16x = 41,130.36 × 19,209
  4. Step 4: Simplify right side
    29,813.16x = 790,073,085.24
  5. Step 5: Solve for x
    x = 790,073,085.24/29,813.16
  6. Step 6: Final answer
    x = 26,500.82

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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.