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Finding the Fourth Proportional to 14,701.64, 22,021.95 and 7,182.50

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Solution

The fourth proportional to 14,701.64, 22,021.95 and 7,182.50 is: 10,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.64 : 22,021.95 = 7,182.50 : x
  2. Step 2: Convert to fraction form
    14,701.64/22,021.95 = 7,182.50/x
  3. Step 3: Cross multiply
    14,701.64x = 22,021.95 × 7,182.50
  4. Step 4: Simplify right side
    14,701.64x = 158,172,614.44
  5. Step 5: Solve for x
    x = 158,172,614.44/14,701.64
  6. Step 6: Final answer
    x = 10,758.84

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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.