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Finding the Fourth Proportional to 14,100.98, 19,459.31 and 7,813.35

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Solution

The fourth proportional to 14,100.98, 19,459.31 and 7,813.35 is: 10,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.98 : 19,459.31 = 7,813.35 : x
  2. Step 2: Convert to fraction form
    14,100.98/19,459.31 = 7,813.35/x
  3. Step 3: Cross multiply
    14,100.98x = 19,459.31 × 7,813.35
  4. Step 4: Simplify right side
    14,100.98x = 152,042,360.72
  5. Step 5: Solve for x
    x = 152,042,360.72/14,100.98
  6. Step 6: Final answer
    x = 10,782.40

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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.