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Finding the Fourth Proportional to 15,685.41, 21,641.64 and 9,306.69

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Solution

The fourth proportional to 15,685.41, 21,641.64 and 9,306.69 is: 12,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.41 : 21,641.64 = 9,306.69 : x
  2. Step 2: Convert to fraction form
    15,685.41/21,641.64 = 9,306.69/x
  3. Step 3: Cross multiply
    15,685.41x = 21,641.64 × 9,306.69
  4. Step 4: Simplify right side
    15,685.41x = 201,412,034.57
  5. Step 5: Solve for x
    x = 201,412,034.57/15,685.41
  6. Step 6: Final answer
    x = 12,840.72

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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.