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Finding the Fourth Proportional to 15,100.14, 22,654.80 and 4,711.98

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Solution

The fourth proportional to 15,100.14, 22,654.80 and 4,711.98 is: 7,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,100.14 : 22,654.80 = 4,711.98 : x
  2. Step 2: Convert to fraction form
    15,100.14/22,654.80 = 4,711.98/x
  3. Step 3: Cross multiply
    15,100.14x = 22,654.80 × 4,711.98
  4. Step 4: Simplify right side
    15,100.14x = 106,748,964.50
  5. Step 5: Solve for x
    x = 106,748,964.50/15,100.14
  6. Step 6: Final answer
    x = 7,069.40

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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.