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Finding the Fourth Proportional to 23,788.88, 35,688.54 and 9,749

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Solution

The fourth proportional to 23,788.88, 35,688.54 and 9,749 is: 14,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.88 : 35,688.54 = 9,749 : x
  2. Step 2: Convert to fraction form
    23,788.88/35,688.54 = 9,749/x
  3. Step 3: Cross multiply
    23,788.88x = 35,688.54 × 9,749
  4. Step 4: Simplify right side
    23,788.88x = 347,927,576.46
  5. Step 5: Solve for x
    x = 347,927,576.46/23,788.88
  6. Step 6: Final answer
    x = 14,625.64

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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.