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Finding the Fourth Proportional to 22,300.14, 30,775.62 and 14,733.20

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Solution

The fourth proportional to 22,300.14, 30,775.62 and 14,733.20 is: 20,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.14 : 30,775.62 = 14,733.20 : x
  2. Step 2: Convert to fraction form
    22,300.14/30,775.62 = 14,733.20/x
  3. Step 3: Cross multiply
    22,300.14x = 30,775.62 × 14,733.20
  4. Step 4: Simplify right side
    22,300.14x = 453,423,368.78
  5. Step 5: Solve for x
    x = 453,423,368.78/22,300.14
  6. Step 6: Final answer
    x = 20,332.76

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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.