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Finding the Fourth Proportional to 15,678.30, 21,653.87 and 10,633.74

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Solution

The fourth proportional to 15,678.30, 21,653.87 and 10,633.74 is: 14,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.30 : 21,653.87 = 10,633.74 : x
  2. Step 2: Convert to fraction form
    15,678.30/21,653.87 = 10,633.74/x
  3. Step 3: Cross multiply
    15,678.30x = 21,653.87 × 10,633.74
  4. Step 4: Simplify right side
    15,678.30x = 230,261,623.57
  5. Step 5: Solve for x
    x = 230,261,623.57/15,678.30
  6. Step 6: Final answer
    x = 14,686.64

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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.