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Finding the Fourth Proportional to 14,673.13, 22,013.74 and 4,284.88

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Solution

The fourth proportional to 14,673.13, 22,013.74 and 4,284.88 is: 6,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.13 : 22,013.74 = 4,284.88 : x
  2. Step 2: Convert to fraction form
    14,673.13/22,013.74 = 4,284.88/x
  3. Step 3: Cross multiply
    14,673.13x = 22,013.74 × 4,284.88
  4. Step 4: Simplify right side
    14,673.13x = 94,326,234.25
  5. Step 5: Solve for x
    x = 94,326,234.25/14,673.13
  6. Step 6: Final answer
    x = 6,428.50

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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.