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Finding the Fourth Proportional to 15,509.40, 23,312.70 and 15,217.80

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Solution

The fourth proportional to 15,509.40, 23,312.70 and 15,217.80 is: 22,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.40 : 23,312.70 = 15,217.80 : x
  2. Step 2: Convert to fraction form
    15,509.40/23,312.70 = 15,217.80/x
  3. Step 3: Cross multiply
    15,509.40x = 23,312.70 × 15,217.80
  4. Step 4: Simplify right side
    15,509.40x = 354,768,006.06
  5. Step 5: Solve for x
    x = 354,768,006.06/15,509.40
  6. Step 6: Final answer
    x = 22,874.39

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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.