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Finding the Fourth Proportional to 17,564.02, 26,354.68 and 8,202.68

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Solution

The fourth proportional to 17,564.02, 26,354.68 and 8,202.68 is: 12,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.02 : 26,354.68 = 8,202.68 : x
  2. Step 2: Convert to fraction form
    17,564.02/26,354.68 = 8,202.68/x
  3. Step 3: Cross multiply
    17,564.02x = 26,354.68 × 8,202.68
  4. Step 4: Simplify right side
    17,564.02x = 216,178,925.11
  5. Step 5: Solve for x
    x = 216,178,925.11/17,564.02
  6. Step 6: Final answer
    x = 12,308.05

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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.