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Finding the Fourth Proportional to 17,509.14, 26,267.40 and 5,663.88

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Solution

The fourth proportional to 17,509.14, 26,267.40 and 5,663.88 is: 8,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.14 : 26,267.40 = 5,663.88 : x
  2. Step 2: Convert to fraction form
    17,509.14/26,267.40 = 5,663.88/x
  3. Step 3: Cross multiply
    17,509.14x = 26,267.40 × 5,663.88
  4. Step 4: Simplify right side
    17,509.14x = 148,775,401.51
  5. Step 5: Solve for x
    x = 148,775,401.51/17,509.14
  6. Step 6: Final answer
    x = 8,497.01

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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.