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Finding the Fourth Proportional to 21,409.87, 32,088.06 and 10,314.49

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Solution

The fourth proportional to 21,409.87, 32,088.06 and 10,314.49 is: 15,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.87 : 32,088.06 = 10,314.49 : x
  2. Step 2: Convert to fraction form
    21,409.87/32,088.06 = 10,314.49/x
  3. Step 3: Cross multiply
    21,409.87x = 32,088.06 × 10,314.49
  4. Step 4: Simplify right side
    21,409.87x = 330,971,973.99
  5. Step 5: Solve for x
    x = 330,971,973.99/21,409.87
  6. Step 6: Final answer
    x = 15,458.85

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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.