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Finding the Fourth Proportional to 19,641.94, 27,106.14 and 10,689.64

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Solution

The fourth proportional to 19,641.94, 27,106.14 and 10,689.64 is: 14,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.94 : 27,106.14 = 10,689.64 : x
  2. Step 2: Convert to fraction form
    19,641.94/27,106.14 = 10,689.64/x
  3. Step 3: Cross multiply
    19,641.94x = 27,106.14 × 10,689.64
  4. Step 4: Simplify right side
    19,641.94x = 289,754,878.39
  5. Step 5: Solve for x
    x = 289,754,878.39/19,641.94
  6. Step 6: Final answer
    x = 14,751.85

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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.