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Finding the Fourth Proportional to 12,894.48, 19,302.84 and 9,434.16

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Solution

The fourth proportional to 12,894.48, 19,302.84 and 9,434.16 is: 14,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.48 : 19,302.84 = 9,434.16 : x
  2. Step 2: Convert to fraction form
    12,894.48/19,302.84 = 9,434.16/x
  3. Step 3: Cross multiply
    12,894.48x = 19,302.84 × 9,434.16
  4. Step 4: Simplify right side
    12,894.48x = 182,106,081.01
  5. Step 5: Solve for x
    x = 182,106,081.01/12,894.48
  6. Step 6: Final answer
    x = 14,122.79

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