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Finding the Fourth Proportional to 31,406.59, 43,341.78 and 17,259.67

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Solution

The fourth proportional to 31,406.59, 43,341.78 and 17,259.67 is: 23,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.59 : 43,341.78 = 17,259.67 : x
  2. Step 2: Convert to fraction form
    31,406.59/43,341.78 = 17,259.67/x
  3. Step 3: Cross multiply
    31,406.59x = 43,341.78 × 17,259.67
  4. Step 4: Simplify right side
    31,406.59x = 748,064,820.01
  5. Step 5: Solve for x
    x = 748,064,820.01/31,406.59
  6. Step 6: Final answer
    x = 23,818.72

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