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Finding the Fourth Proportional to 14,476.64, 21,699.98 and 6,584.63

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Solution

The fourth proportional to 14,476.64, 21,699.98 and 6,584.63 is: 9,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.64 : 21,699.98 = 6,584.63 : x
  2. Step 2: Convert to fraction form
    14,476.64/21,699.98 = 6,584.63/x
  3. Step 3: Cross multiply
    14,476.64x = 21,699.98 × 6,584.63
  4. Step 4: Simplify right side
    14,476.64x = 142,886,306.38
  5. Step 5: Solve for x
    x = 142,886,306.38/14,476.64
  6. Step 6: Final answer
    x = 9,870.13

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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.