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Finding the Fourth Proportional to 22,000.32, 30,357.72 and 14,047.20

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Solution

The fourth proportional to 22,000.32, 30,357.72 and 14,047.20 is: 19,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000.32 : 30,357.72 = 14,047.20 : x
  2. Step 2: Convert to fraction form
    22,000.32/30,357.72 = 14,047.20/x
  3. Step 3: Cross multiply
    22,000.32x = 30,357.72 × 14,047.20
  4. Step 4: Simplify right side
    22,000.32x = 426,440,964.38
  5. Step 5: Solve for x
    x = 426,440,964.38/22,000.32
  6. Step 6: Final answer
    x = 19,383.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.