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Finding the Fourth Proportional to 16,681.34, 25,022.01 and 11,777.00

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Solution

The fourth proportional to 16,681.34, 25,022.01 and 11,777.00 is: 17,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.34 : 25,022.01 = 11,777.00 : x
  2. Step 2: Convert to fraction form
    16,681.34/25,022.01 = 11,777.00/x
  3. Step 3: Cross multiply
    16,681.34x = 25,022.01 × 11,777.00
  4. Step 4: Simplify right side
    16,681.34x = 294,684,130.82
  5. Step 5: Solve for x
    x = 294,684,130.82/16,681.34
  6. Step 6: Final answer
    x = 17,665.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.