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Finding the Fourth Proportional to 18,547.68, 27,807.12 and 9,659.28

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Solution

The fourth proportional to 18,547.68, 27,807.12 and 9,659.28 is: 14,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.68 : 27,807.12 = 9,659.28 : x
  2. Step 2: Convert to fraction form
    18,547.68/27,807.12 = 9,659.28/x
  3. Step 3: Cross multiply
    18,547.68x = 27,807.12 × 9,659.28
  4. Step 4: Simplify right side
    18,547.68x = 268,596,758.07
  5. Step 5: Solve for x
    x = 268,596,758.07/18,547.68
  6. Step 6: Final answer
    x = 14,481.42

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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.