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Finding the Fourth Proportional to 14,441.94, 21,656.43 and 6,646.50

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Solution

The fourth proportional to 14,441.94, 21,656.43 and 6,646.50 is: 9,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.94 : 21,656.43 = 6,646.50 : x
  2. Step 2: Convert to fraction form
    14,441.94/21,656.43 = 6,646.50/x
  3. Step 3: Cross multiply
    14,441.94x = 21,656.43 × 6,646.50
  4. Step 4: Simplify right side
    14,441.94x = 143,939,462.00
  5. Step 5: Solve for x
    x = 143,939,462.00/14,441.94
  6. Step 6: Final answer
    x = 9,966.77

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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.