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Finding the Fourth Proportional to 14,146, 19,522.11 and 7,858.36

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Solution

The fourth proportional to 14,146, 19,522.11 and 7,858.36 is: 10,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146 : 19,522.11 = 7,858.36 : x
  2. Step 2: Convert to fraction form
    14,146/19,522.11 = 7,858.36/x
  3. Step 3: Cross multiply
    14,146x = 19,522.11 × 7,858.36
  4. Step 4: Simplify right side
    14,146x = 153,411,768.34
  5. Step 5: Solve for x
    x = 153,411,768.34/14,146
  6. Step 6: Final answer
    x = 10,844.89

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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.