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Finding the Fourth Proportional to 21,410.87, 32,089.56 and 10,315.49

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Solution

The fourth proportional to 21,410.87, 32,089.56 and 10,315.49 is: 15,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.87 : 32,089.56 = 10,315.49 : x
  2. Step 2: Convert to fraction form
    21,410.87/32,089.56 = 10,315.49/x
  3. Step 3: Cross multiply
    21,410.87x = 32,089.56 × 10,315.49
  4. Step 4: Simplify right side
    21,410.87x = 331,019,535.28
  5. Step 5: Solve for x
    x = 331,019,535.28/21,410.87
  6. Step 6: Final answer
    x = 15,460.35

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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.