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Finding the Fourth Proportional to 15,687.63, 21,646.17 and 9,400.14

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Solution

The fourth proportional to 15,687.63, 21,646.17 and 9,400.14 is: 12,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.63 : 21,646.17 = 9,400.14 : x
  2. Step 2: Convert to fraction form
    15,687.63/21,646.17 = 9,400.14/x
  3. Step 3: Cross multiply
    15,687.63x = 21,646.17 × 9,400.14
  4. Step 4: Simplify right side
    15,687.63x = 203,477,028.46
  5. Step 5: Solve for x
    x = 203,477,028.46/15,687.63
  6. Step 6: Final answer
    x = 12,970.54

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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.