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Finding the Fourth Proportional to 14,803, 22,215.46 and 7,011.84

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Solution

The fourth proportional to 14,803, 22,215.46 and 7,011.84 is: 10,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803 : 22,215.46 = 7,011.84 : x
  2. Step 2: Convert to fraction form
    14,803/22,215.46 = 7,011.84/x
  3. Step 3: Cross multiply
    14,803x = 22,215.46 × 7,011.84
  4. Step 4: Simplify right side
    14,803x = 155,771,251.05
  5. Step 5: Solve for x
    x = 155,771,251.05/14,803
  6. Step 6: Final answer
    x = 10,522.95

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Why These Related Problems?

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