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Finding the Fourth Proportional to 15,731.19, 21,697.65 and 10,686.60

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Solution

The fourth proportional to 15,731.19, 21,697.65 and 10,686.60 is: 14,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.19 : 21,697.65 = 10,686.60 : x
  2. Step 2: Convert to fraction form
    15,731.19/21,697.65 = 10,686.60/x
  3. Step 3: Cross multiply
    15,731.19x = 21,697.65 × 10,686.60
  4. Step 4: Simplify right side
    15,731.19x = 231,874,106.49
  5. Step 5: Solve for x
    x = 231,874,106.49/15,731.19
  6. Step 6: Final answer
    x = 14,739.77

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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.