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Finding the Fourth Proportional to 17,661.71, 26,501.64 and 9,762.76

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Solution

The fourth proportional to 17,661.71, 26,501.64 and 9,762.76 is: 14,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.71 : 26,501.64 = 9,762.76 : x
  2. Step 2: Convert to fraction form
    17,661.71/26,501.64 = 9,762.76/x
  3. Step 3: Cross multiply
    17,661.71x = 26,501.64 × 9,762.76
  4. Step 4: Simplify right side
    17,661.71x = 258,729,018.42
  5. Step 5: Solve for x
    x = 258,729,018.42/17,661.71
  6. Step 6: Final answer
    x = 14,649.15

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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.