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Finding the Fourth Proportional to 15,786.18, 21,784.08 and 9,817.68

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Solution

The fourth proportional to 15,786.18, 21,784.08 and 9,817.68 is: 13,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.18 : 21,784.08 = 9,817.68 : x
  2. Step 2: Convert to fraction form
    15,786.18/21,784.08 = 9,817.68/x
  3. Step 3: Cross multiply
    15,786.18x = 21,784.08 × 9,817.68
  4. Step 4: Simplify right side
    15,786.18x = 213,869,126.53
  5. Step 5: Solve for x
    x = 213,869,126.53/15,786.18
  6. Step 6: Final answer
    x = 13,547.87

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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.