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Finding the Fourth Proportional to 22,423.74, 30,931.27 and 14,359.14

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Solution

The fourth proportional to 22,423.74, 30,931.27 and 14,359.14 is: 19,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.74 : 30,931.27 = 14,359.14 : x
  2. Step 2: Convert to fraction form
    22,423.74/30,931.27 = 14,359.14/x
  3. Step 3: Cross multiply
    22,423.74x = 30,931.27 × 14,359.14
  4. Step 4: Simplify right side
    22,423.74x = 444,146,364.51
  5. Step 5: Solve for x
    x = 444,146,364.51/22,423.74
  6. Step 6: Final answer
    x = 19,806.97

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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.