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Finding the Fourth Proportional to 15,784.07, 21,784.41 and 9,817.65

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Solution

The fourth proportional to 15,784.07, 21,784.41 and 9,817.65 is: 13,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.07 : 21,784.41 = 9,817.65 : x
  2. Step 2: Convert to fraction form
    15,784.07/21,784.41 = 9,817.65/x
  3. Step 3: Cross multiply
    15,784.07x = 21,784.41 × 9,817.65
  4. Step 4: Simplify right side
    15,784.07x = 213,871,712.84
  5. Step 5: Solve for x
    x = 213,871,712.84/15,784.07
  6. Step 6: Final answer
    x = 13,549.85

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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.