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Finding the Fourth Proportional to 13,664.52, 20,506.50 and 10,547.64

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Solution

The fourth proportional to 13,664.52, 20,506.50 and 10,547.64 is: 15,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.52 : 20,506.50 = 10,547.64 : x
  2. Step 2: Convert to fraction form
    13,664.52/20,506.50 = 10,547.64/x
  3. Step 3: Cross multiply
    13,664.52x = 20,506.50 × 10,547.64
  4. Step 4: Simplify right side
    13,664.52x = 216,295,179.66
  5. Step 5: Solve for x
    x = 216,295,179.66/13,664.52
  6. Step 6: Final answer
    x = 15,828.96

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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.