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Finding the Fourth Proportional to 22,298.51, 30,771.69 and 12,866.87

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Solution

The fourth proportional to 22,298.51, 30,771.69 and 12,866.87 is: 17,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.51 : 30,771.69 = 12,866.87 : x
  2. Step 2: Convert to fraction form
    22,298.51/30,771.69 = 12,866.87/x
  3. Step 3: Cross multiply
    22,298.51x = 30,771.69 × 12,866.87
  4. Step 4: Simplify right side
    22,298.51x = 395,935,334.91
  5. Step 5: Solve for x
    x = 395,935,334.91/22,298.51
  6. Step 6: Final answer
    x = 17,756.13

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