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Finding the Fourth Proportional to 14,177.60, 19,566 and 7,890.40

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Solution

The fourth proportional to 14,177.60, 19,566 and 7,890.40 is: 10,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.60 : 19,566 = 7,890.40 : x
  2. Step 2: Convert to fraction form
    14,177.60/19,566 = 7,890.40/x
  3. Step 3: Cross multiply
    14,177.60x = 19,566 × 7,890.40
  4. Step 4: Simplify right side
    14,177.60x = 154,383,566.40
  5. Step 5: Solve for x
    x = 154,383,566.40/14,177.60
  6. Step 6: Final answer
    x = 10,889.26

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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.