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Finding the Fourth Proportional to 15,874.68, 23,795.01 and 7,549.50

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Solution

The fourth proportional to 15,874.68, 23,795.01 and 7,549.50 is: 11,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.68 : 23,795.01 = 7,549.50 : x
  2. Step 2: Convert to fraction form
    15,874.68/23,795.01 = 7,549.50/x
  3. Step 3: Cross multiply
    15,874.68x = 23,795.01 × 7,549.50
  4. Step 4: Simplify right side
    15,874.68x = 179,640,428.00
  5. Step 5: Solve for x
    x = 179,640,428.00/15,874.68
  6. Step 6: Final answer
    x = 11,316.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.