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Finding the Fourth Proportional to 15,709.68, 21,657.78 and 11,452.32

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Solution

The fourth proportional to 15,709.68, 21,657.78 and 11,452.32 is: 15,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.68 : 21,657.78 = 11,452.32 : x
  2. Step 2: Convert to fraction form
    15,709.68/21,657.78 = 11,452.32/x
  3. Step 3: Cross multiply
    15,709.68x = 21,657.78 × 11,452.32
  4. Step 4: Simplify right side
    15,709.68x = 248,031,827.05
  5. Step 5: Solve for x
    x = 248,031,827.05/15,709.68
  6. Step 6: Final answer
    x = 15,788.47

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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.