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Finding the Fourth Proportional to 14,889.50, 20,547.41 and 8,175.24

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Solution

The fourth proportional to 14,889.50, 20,547.41 and 8,175.24 is: 11,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889.50 : 20,547.41 = 8,175.24 : x
  2. Step 2: Convert to fraction form
    14,889.50/20,547.41 = 8,175.24/x
  3. Step 3: Cross multiply
    14,889.50x = 20,547.41 × 8,175.24
  4. Step 4: Simplify right side
    14,889.50x = 167,979,967.25
  5. Step 5: Solve for x
    x = 167,979,967.25/14,889.50
  6. Step 6: Final answer
    x = 11,281.77

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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.