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Finding the Fourth Proportional to 15,705.80, 21,673.86 and 8,535.64

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Solution

The fourth proportional to 15,705.80, 21,673.86 and 8,535.64 is: 11,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.80 : 21,673.86 = 8,535.64 : x
  2. Step 2: Convert to fraction form
    15,705.80/21,673.86 = 8,535.64/x
  3. Step 3: Cross multiply
    15,705.80x = 21,673.86 × 8,535.64
  4. Step 4: Simplify right side
    15,705.80x = 185,000,266.37
  5. Step 5: Solve for x
    x = 185,000,266.37/15,705.80
  6. Step 6: Final answer
    x = 11,779.10

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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.