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Finding the Fourth Proportional to 15,011.76, 22,461.84 and 9,439.05

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Solution

The fourth proportional to 15,011.76, 22,461.84 and 9,439.05 is: 14,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,011.76 : 22,461.84 = 9,439.05 : x
  2. Step 2: Convert to fraction form
    15,011.76/22,461.84 = 9,439.05/x
  3. Step 3: Cross multiply
    15,011.76x = 22,461.84 × 9,439.05
  4. Step 4: Simplify right side
    15,011.76x = 212,018,430.85
  5. Step 5: Solve for x
    x = 212,018,430.85/15,011.76
  6. Step 6: Final answer
    x = 14,123.49

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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.