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Finding the Fourth Proportional to 23,133.40, 34,700.10 and 8,342.80

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Solution

The fourth proportional to 23,133.40, 34,700.10 and 8,342.80 is: 12,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.40 : 34,700.10 = 8,342.80 : x
  2. Step 2: Convert to fraction form
    23,133.40/34,700.10 = 8,342.80/x
  3. Step 3: Cross multiply
    23,133.40x = 34,700.10 × 8,342.80
  4. Step 4: Simplify right side
    23,133.40x = 289,495,994.28
  5. Step 5: Solve for x
    x = 289,495,994.28/23,133.40
  6. Step 6: Final answer
    x = 12,514.20

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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.