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Finding the Fourth Proportional to 15,884.68, 21,920.34 and 9,595.96

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Solution

The fourth proportional to 15,884.68, 21,920.34 and 9,595.96 is: 13,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.68 : 21,920.34 = 9,595.96 : x
  2. Step 2: Convert to fraction form
    15,884.68/21,920.34 = 9,595.96/x
  3. Step 3: Cross multiply
    15,884.68x = 21,920.34 × 9,595.96
  4. Step 4: Simplify right side
    15,884.68x = 210,346,705.83
  5. Step 5: Solve for x
    x = 210,346,705.83/15,884.68
  6. Step 6: Final answer
    x = 13,242.11

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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.