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Finding the Fourth Proportional to 22,384.28, 33,547.68 and 9,245.90

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Solution

The fourth proportional to 22,384.28, 33,547.68 and 9,245.90 is: 13,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.28 : 33,547.68 = 9,245.90 : x
  2. Step 2: Convert to fraction form
    22,384.28/33,547.68 = 9,245.90/x
  3. Step 3: Cross multiply
    22,384.28x = 33,547.68 × 9,245.90
  4. Step 4: Simplify right side
    22,384.28x = 310,178,494.51
  5. Step 5: Solve for x
    x = 310,178,494.51/22,384.28
  6. Step 6: Final answer
    x = 13,856.98

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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.