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Finding the Fourth Proportional to 12,854.50, 19,283.77 and 5,459.00

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Solution

The fourth proportional to 12,854.50, 19,283.77 and 5,459.00 is: 8,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.50 : 19,283.77 = 5,459.00 : x
  2. Step 2: Convert to fraction form
    12,854.50/19,283.77 = 5,459.00/x
  3. Step 3: Cross multiply
    12,854.50x = 19,283.77 × 5,459.00
  4. Step 4: Simplify right side
    12,854.50x = 105,270,010.83
  5. Step 5: Solve for x
    x = 105,270,010.83/12,854.50
  6. Step 6: Final answer
    x = 8,189.35

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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.