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Finding the Fourth Proportional to 14,283.06, 21,427.82 and 7,709.10

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Solution

The fourth proportional to 14,283.06, 21,427.82 and 7,709.10 is: 11,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.06 : 21,427.82 = 7,709.10 : x
  2. Step 2: Convert to fraction form
    14,283.06/21,427.82 = 7,709.10/x
  3. Step 3: Cross multiply
    14,283.06x = 21,427.82 × 7,709.10
  4. Step 4: Simplify right side
    14,283.06x = 165,189,207.16
  5. Step 5: Solve for x
    x = 165,189,207.16/14,283.06
  6. Step 6: Final answer
    x = 11,565.39

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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.