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Finding the Fourth Proportional to 14,684.34, 22,026.69 and 4,296.30

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Solution

The fourth proportional to 14,684.34, 22,026.69 and 4,296.30 is: 6,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.34 : 22,026.69 = 4,296.30 : x
  2. Step 2: Convert to fraction form
    14,684.34/22,026.69 = 4,296.30/x
  3. Step 3: Cross multiply
    14,684.34x = 22,026.69 × 4,296.30
  4. Step 4: Simplify right side
    14,684.34x = 94,633,268.25
  5. Step 5: Solve for x
    x = 94,633,268.25/14,684.34
  6. Step 6: Final answer
    x = 6,444.50

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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.