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Finding the Fourth Proportional to 22,931.40, 34,364.70 and 14,140.20

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Solution

The fourth proportional to 22,931.40, 34,364.70 and 14,140.20 is: 21,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.40 : 34,364.70 = 14,140.20 : x
  2. Step 2: Convert to fraction form
    22,931.40/34,364.70 = 14,140.20/x
  3. Step 3: Cross multiply
    22,931.40x = 34,364.70 × 14,140.20
  4. Step 4: Simplify right side
    22,931.40x = 485,923,730.94
  5. Step 5: Solve for x
    x = 485,923,730.94/22,931.40
  6. Step 6: Final answer
    x = 21,190.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.