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Finding the Fourth Proportional to 40,521.84, 60,758.75 and 13,858.40

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Solution

The fourth proportional to 40,521.84, 60,758.75 and 13,858.40 is: 20,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,521.84 : 60,758.75 = 13,858.40 : x
  2. Step 2: Convert to fraction form
    40,521.84/60,758.75 = 13,858.40/x
  3. Step 3: Cross multiply
    40,521.84x = 60,758.75 × 13,858.40
  4. Step 4: Simplify right side
    40,521.84x = 842,018,687.91
  5. Step 5: Solve for x
    x = 842,018,687.91/40,521.84
  6. Step 6: Final answer
    x = 20,779.38

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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.