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Finding the Fourth Proportional to 23,008.55, 31,749.98 and 12,935.07

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Solution

The fourth proportional to 23,008.55, 31,749.98 and 12,935.07 is: 17,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008.55 : 31,749.98 = 12,935.07 : x
  2. Step 2: Convert to fraction form
    23,008.55/31,749.98 = 12,935.07/x
  3. Step 3: Cross multiply
    23,008.55x = 31,749.98 × 12,935.07
  4. Step 4: Simplify right side
    23,008.55x = 410,688,149.12
  5. Step 5: Solve for x
    x = 410,688,149.12/23,008.55
  6. Step 6: Final answer
    x = 17,849.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.