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Finding the Fourth Proportional to 23,098.23, 34,649.64 and 8,312.90

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Solution

The fourth proportional to 23,098.23, 34,649.64 and 8,312.90 is: 12,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.23 : 34,649.64 = 8,312.90 : x
  2. Step 2: Convert to fraction form
    23,098.23/34,649.64 = 8,312.90/x
  3. Step 3: Cross multiply
    23,098.23x = 34,649.64 × 8,312.90
  4. Step 4: Simplify right side
    23,098.23x = 288,038,819.11
  5. Step 5: Solve for x
    x = 288,038,819.11/23,098.23
  6. Step 6: Final answer
    x = 12,470.17

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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.