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Finding the Fourth Proportional to 19,302.60, 28,932.30 and 8,207.40

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Solution

The fourth proportional to 19,302.60, 28,932.30 and 8,207.40 is: 12,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,302.60 : 28,932.30 = 8,207.40 : x
  2. Step 2: Convert to fraction form
    19,302.60/28,932.30 = 8,207.40/x
  3. Step 3: Cross multiply
    19,302.60x = 28,932.30 × 8,207.40
  4. Step 4: Simplify right side
    19,302.60x = 237,458,959.02
  5. Step 5: Solve for x
    x = 237,458,959.02/19,302.60
  6. Step 6: Final answer
    x = 12,301.92

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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.