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Finding the Fourth Proportional to 17,602.60, 26,406.90 and 6,509.34

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Solution

The fourth proportional to 17,602.60, 26,406.90 and 6,509.34 is: 9,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.60 : 26,406.90 = 6,509.34 : x
  2. Step 2: Convert to fraction form
    17,602.60/26,406.90 = 6,509.34/x
  3. Step 3: Cross multiply
    17,602.60x = 26,406.90 × 6,509.34
  4. Step 4: Simplify right side
    17,602.60x = 171,891,490.45
  5. Step 5: Solve for x
    x = 171,891,490.45/17,602.60
  6. Step 6: Final answer
    x = 9,765.12

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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.