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Finding the Fourth Proportional to 23,006.90, 34,510.35 and 8,216.30

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Solution

The fourth proportional to 23,006.90, 34,510.35 and 8,216.30 is: 12,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.90 : 34,510.35 = 8,216.30 : x
  2. Step 2: Convert to fraction form
    23,006.90/34,510.35 = 8,216.30/x
  3. Step 3: Cross multiply
    23,006.90x = 34,510.35 × 8,216.30
  4. Step 4: Simplify right side
    23,006.90x = 283,547,388.71
  5. Step 5: Solve for x
    x = 283,547,388.71/23,006.90
  6. Step 6: Final answer
    x = 12,324.45

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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.