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Finding the Fourth Proportional to 27,222.90, 40,827.51 and 9,688.63

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Solution

The fourth proportional to 27,222.90, 40,827.51 and 9,688.63 is: 14,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222.90 : 40,827.51 = 9,688.63 : x
  2. Step 2: Convert to fraction form
    27,222.90/40,827.51 = 9,688.63/x
  3. Step 3: Cross multiply
    27,222.90x = 40,827.51 × 9,688.63
  4. Step 4: Simplify right side
    27,222.90x = 395,562,399.58
  5. Step 5: Solve for x
    x = 395,562,399.58/27,222.90
  6. Step 6: Final answer
    x = 14,530.50

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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.