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Finding the Fourth Proportional to 22,758.02, 34,116 and 14,412.77

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Solution

The fourth proportional to 22,758.02, 34,116 and 14,412.77 is: 21,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.02 : 34,116 = 14,412.77 : x
  2. Step 2: Convert to fraction form
    22,758.02/34,116 = 14,412.77/x
  3. Step 3: Cross multiply
    22,758.02x = 34,116 × 14,412.77
  4. Step 4: Simplify right side
    22,758.02x = 491,706,061.32
  5. Step 5: Solve for x
    x = 491,706,061.32/22,758.02
  6. Step 6: Final answer
    x = 21,605.84

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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.