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Finding the Fourth Proportional to 27,029.28, 40,547.98 and 9,496.02

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Solution

The fourth proportional to 27,029.28, 40,547.98 and 9,496.02 is: 14,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.28 : 40,547.98 = 9,496.02 : x
  2. Step 2: Convert to fraction form
    27,029.28/40,547.98 = 9,496.02/x
  3. Step 3: Cross multiply
    27,029.28x = 40,547.98 × 9,496.02
  4. Step 4: Simplify right side
    27,029.28x = 385,044,429.04
  5. Step 5: Solve for x
    x = 385,044,429.04/27,029.28
  6. Step 6: Final answer
    x = 14,245.46

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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.