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Finding the Fourth Proportional to 15,097.61, 22,638.11 and 8,085.84

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Solution

The fourth proportional to 15,097.61, 22,638.11 and 8,085.84 is: 12,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.61 : 22,638.11 = 8,085.84 : x
  2. Step 2: Convert to fraction form
    15,097.61/22,638.11 = 8,085.84/x
  3. Step 3: Cross multiply
    15,097.61x = 22,638.11 × 8,085.84
  4. Step 4: Simplify right side
    15,097.61x = 183,048,094.93
  5. Step 5: Solve for x
    x = 183,048,094.93/15,097.61
  6. Step 6: Final answer
    x = 12,124.31

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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.