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Finding the Fourth Proportional to 14,444.64, 21,659.13 and 6,646.50

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Solution

The fourth proportional to 14,444.64, 21,659.13 and 6,646.50 is: 9,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,444.64 : 21,659.13 = 6,646.50 : x
  2. Step 2: Convert to fraction form
    14,444.64/21,659.13 = 6,646.50/x
  3. Step 3: Cross multiply
    14,444.64x = 21,659.13 × 6,646.50
  4. Step 4: Simplify right side
    14,444.64x = 143,957,407.55
  5. Step 5: Solve for x
    x = 143,957,407.55/14,444.64
  6. Step 6: Final answer
    x = 9,966.15

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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.