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Finding the Fourth Proportional to 15,547.70, 23,328.45 and 8,150.40

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Solution

The fourth proportional to 15,547.70, 23,328.45 and 8,150.40 is: 12,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,547.70 : 23,328.45 = 8,150.40 : x
  2. Step 2: Convert to fraction form
    15,547.70/23,328.45 = 8,150.40/x
  3. Step 3: Cross multiply
    15,547.70x = 23,328.45 × 8,150.40
  4. Step 4: Simplify right side
    15,547.70x = 190,136,198.88
  5. Step 5: Solve for x
    x = 190,136,198.88/15,547.70
  6. Step 6: Final answer
    x = 12,229.22

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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.