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Finding the Fourth Proportional to 17,752.47, 26,647.10 and 13,077.75

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Solution

The fourth proportional to 17,752.47, 26,647.10 and 13,077.75 is: 19,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.47 : 26,647.10 = 13,077.75 : x
  2. Step 2: Convert to fraction form
    17,752.47/26,647.10 = 13,077.75/x
  3. Step 3: Cross multiply
    17,752.47x = 26,647.10 × 13,077.75
  4. Step 4: Simplify right side
    17,752.47x = 348,484,046.64
  5. Step 5: Solve for x
    x = 348,484,046.64/17,752.47
  6. Step 6: Final answer
    x = 19,630.17

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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.