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Finding the Fourth Proportional to 14,956.56, 22,434.03 and 4,567.50

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Solution

The fourth proportional to 14,956.56, 22,434.03 and 4,567.50 is: 6,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956.56 : 22,434.03 = 4,567.50 : x
  2. Step 2: Convert to fraction form
    14,956.56/22,434.03 = 4,567.50/x
  3. Step 3: Cross multiply
    14,956.56x = 22,434.03 × 4,567.50
  4. Step 4: Simplify right side
    14,956.56x = 102,467,432.03
  5. Step 5: Solve for x
    x = 102,467,432.03/14,956.56
  6. Step 6: Final answer
    x = 6,851.00

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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.