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Finding the Fourth Proportional to 22,816.84, 31,478.58 and 14,865.88

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Solution

The fourth proportional to 22,816.84, 31,478.58 and 14,865.88 is: 20,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.84 : 31,478.58 = 14,865.88 : x
  2. Step 2: Convert to fraction form
    22,816.84/31,478.58 = 14,865.88/x
  3. Step 3: Cross multiply
    22,816.84x = 31,478.58 × 14,865.88
  4. Step 4: Simplify right side
    22,816.84x = 467,956,792.85
  5. Step 5: Solve for x
    x = 467,956,792.85/22,816.84
  6. Step 6: Final answer
    x = 20,509.27

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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.