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Finding the Fourth Proportional to 14,466.74, 21,702.13 and 4,602.65

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Solution

The fourth proportional to 14,466.74, 21,702.13 and 4,602.65 is: 6,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.74 : 21,702.13 = 4,602.65 : x
  2. Step 2: Convert to fraction form
    14,466.74/21,702.13 = 4,602.65/x
  3. Step 3: Cross multiply
    14,466.74x = 21,702.13 × 4,602.65
  4. Step 4: Simplify right side
    14,466.74x = 99,887,188.63
  5. Step 5: Solve for x
    x = 99,887,188.63/14,466.74
  6. Step 6: Final answer
    x = 6,904.61

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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.