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Finding the Fourth Proportional to 23,152.84, 31,950.85 and 12,542.65

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Solution

The fourth proportional to 23,152.84, 31,950.85 and 12,542.65 is: 17,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.84 : 31,950.85 = 12,542.65 : x
  2. Step 2: Convert to fraction form
    23,152.84/31,950.85 = 12,542.65/x
  3. Step 3: Cross multiply
    23,152.84x = 31,950.85 × 12,542.65
  4. Step 4: Simplify right side
    23,152.84x = 400,748,328.75
  5. Step 5: Solve for x
    x = 400,748,328.75/23,152.84
  6. Step 6: Final answer
    x = 17,308.82

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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.