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Finding the Fourth Proportional to 15,894.69, 23,837.84 and 7,558.10

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Solution

The fourth proportional to 15,894.69, 23,837.84 and 7,558.10 is: 11,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.69 : 23,837.84 = 7,558.10 : x
  2. Step 2: Convert to fraction form
    15,894.69/23,837.84 = 7,558.10/x
  3. Step 3: Cross multiply
    15,894.69x = 23,837.84 × 7,558.10
  4. Step 4: Simplify right side
    15,894.69x = 180,168,778.50
  5. Step 5: Solve for x
    x = 180,168,778.50/15,894.69
  6. Step 6: Final answer
    x = 11,335.16

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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.