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Finding the Fourth Proportional to 23,386.50, 32,274.08 and 12,776.82

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Solution

The fourth proportional to 23,386.50, 32,274.08 and 12,776.82 is: 17,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,386.50 : 32,274.08 = 12,776.82 : x
  2. Step 2: Convert to fraction form
    23,386.50/32,274.08 = 12,776.82/x
  3. Step 3: Cross multiply
    23,386.50x = 32,274.08 × 12,776.82
  4. Step 4: Simplify right side
    23,386.50x = 412,359,973.83
  5. Step 5: Solve for x
    x = 412,359,973.83/23,386.50
  6. Step 6: Final answer
    x = 17,632.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.