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Finding the Fourth Proportional to 22,725.94, 31,364.23 and 13,302.40

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Solution

The fourth proportional to 22,725.94, 31,364.23 and 13,302.40 is: 18,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,725.94 : 31,364.23 = 13,302.40 : x
  2. Step 2: Convert to fraction form
    22,725.94/31,364.23 = 13,302.40/x
  3. Step 3: Cross multiply
    22,725.94x = 31,364.23 × 13,302.40
  4. Step 4: Simplify right side
    22,725.94x = 417,219,421.49
  5. Step 5: Solve for x
    x = 417,219,421.49/22,725.94
  6. Step 6: Final answer
    x = 18,358.73

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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.