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Finding the Fourth Proportional to 15,727.84, 23,616.84 and 9,158.80

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Solution

The fourth proportional to 15,727.84, 23,616.84 and 9,158.80 is: 13,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.84 : 23,616.84 = 9,158.80 : x
  2. Step 2: Convert to fraction form
    15,727.84/23,616.84 = 9,158.80/x
  3. Step 3: Cross multiply
    15,727.84x = 23,616.84 × 9,158.80
  4. Step 4: Simplify right side
    15,727.84x = 216,301,914.19
  5. Step 5: Solve for x
    x = 216,301,914.19/15,727.84
  6. Step 6: Final answer
    x = 13,752.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.